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1000112010012 = 22351761139901
BaseRepresentation
bin11101000110110110101…
…00100011001100011100
310112121110112012010100000
432203123110203030130
5112341212133310022
62043240051134300
7132153464551563
oct16433324431434
93477415163300
101000112010012
1135616617a755
121419b35a4390
1373405555a5b
1436597282bda
151b0364de6ac
hexe8db52331c

1000112010012 has 144 divisors (see below), whose sum is σ = 2776644535392. Its totient is φ = 313677619200.

The previous prime is 1000112010011. The next prime is 1000112010049. The reversal of 1000112010012 is 2100102110001.

It is a happy number.

1000112010012 is digitally balanced in base 2, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000112009976 and 1000112010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112010011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101006262 + ... + 101016162.

It is an arithmetic number, because the mean of its divisors is an integer number (19282253718).

Almost surely, 21000112010012 is an apocalyptic number.

1000112010012 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 1000112010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388322267696).

1000112010012 is an abundant number, since it is smaller than the sum of its proper divisors (1776532525380).

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

1000112010012 is a wasteful number, since it uses less digits than its factorization.

1000112010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16050 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000112010012 its reverse (2100102110001), we get a palindrome (3100214120013).

The spelling of 1000112010012 in words is "one trillion, one hundred twelve million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 6113 8262 9901 12226 16524 18339 19802 24452 29703 36678 39604 55017 59406 73356 89109 103921 110034 118812 165051 168317 178218 207842 220068 267327 311763 330102 336634 356436 415684 495153 504951 534654 623526 660204 673268 801981 935289 990306 1009902 1069308 1247052 1485459 1514853 1603962 1870578 1980612 2019804 2405943 2805867 2970918 3029706 3207924 3741156 4544559 4811886 5611734 5941836 6059412 8417601 9089118 9623772 11223468 13633677 16835202 18178236 25252803 27267354 33670404 40901031 50505606 54534708 60524813 81802062 101011212 121049626 163604124 181574439 242099252 363148878 544723317 726297756 1028921821 1089446634 1634169951 2057843642 2178893268 3086765463 3268339902 4115687284 4902509853 6173530926 6536679804 9260296389 9805019706 12347061852 14707529559 18520592778 19610039412 27780889167 29415059118 37041185556 55561778334 58830118236 83342667501 111123556668 166685335002 250028002503 333370670004 500056005006 1000112010012