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100000100001012 = 223193123343136523
BaseRepresentation
bin10110101111001100010110…
…011100000010010011110100
3111010001220201220111002212220
4112233030112130002103310
5101101400201100013022
6552403224534042340
730030524462140341
oct2657142634022364
9433056656432786
10100000100001012
11299548934a9442
12b2708331a93b0
1343a4c79a8a043
141a9a0602037c8
15b8637347485c
hex5af3167024f4

100000100001012 has 144 divisors (see below), whose sum is σ = 253870681236480. Its totient is φ = 30550936847040.

The previous prime is 100000100000963. The next prime is 100000100001019. The reversal of 100000100001012 is 210100001000001.

100000100001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732409783 + ... + 732546305.

It is an arithmetic number, because the mean of its divisors is an integer number (1762990841920).

Almost surely, 2100000100001012 is an apocalyptic number.

100000100001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000100001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126935340618240).

100000100001012 is an abundant number, since it is smaller than the sum of its proper divisors (153870581235468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100000100001012 is a wasteful number, since it uses less digits than its factorization.

100000100001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139954 (or 139921 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000100001012 its reverse (210100001000001), we get a palindrome (310100101001013).

The spelling of 100000100001012 in words is "one hundred trillion, one hundred million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 961 1178 1767 1922 2356 2883 3343 3534 3844 5766 6686 7068 10029 11532 13372 18259 20058 36518 40116 54777 63517 73036 103633 109554 127034 136523 190551 207266 219108 254068 273046 310899 381102 409569 414532 546092 621798 762204 819138 1243596 1638276 1969027 2593937 3212623 3938054 4232213 5187874 5907081 6425246 7781811 7876108 8464426 9637869 10375748 11814162 12696639 12850492 15563622 16928852 19275738 23628324 25393278 31127244 38551476 50786556 61039837 80412047 122079674 131198603 160824094 183119511 241236141 244159348 262397206 321648188 366239022 393595809 456396389 482472282 524794412 732478044 787191618 912792778 964944564 1369189167 1574383236 1825585556 2492773457 2738378334 4985546914 5476756668 7478320371 8671531391 9971093828 14148288059 14956640742 17343062782 26014594173 28296576118 29913281484 34686125564 42444864177 52029188346 56593152236 84889728354 104058376692 169779456708 268817473121 438596929829 537634946242 806452419363 877193859658 1075269892484 1315790789487 1612904838726 1754387719316 2631581578974 3225809677452 5263163157948 8333341666751 16666683333502 25000025000253 33333366667004 50000050000506 100000100001012