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100001011210120 = 235167283190727739
BaseRepresentation
bin10110101111001101001100…
…110000000001011110001000
3111010002000002102002022210101
4112233031030300001132020
5101101404032332210440
6552403455204255144
730030556165242556
oct2657151460013610
9433060072068711
10100001011210120
1129955210897319
12b270a483a14b4
1343a50937a9727
141a9a10923abd6
15b863c846769a
hex5af34cc01788

100001011210120 has 128 divisors (see below), whose sum is σ = 227276722713600. Its totient is φ = 39598179422976.

The previous prime is 100001011210039. The next prime is 100001011210123. The reversal of 100001011210120 is 21012110100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100001011210097 and 100001011210106.

It is not an unprimeable number, because it can be changed into a prime (100001011210123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605055211 + ... + 3605082949.

It is an arithmetic number, because the mean of its divisors is an integer number (1775599396200).

Almost surely, 2100001011210120 is an apocalyptic number.

100001011210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001011210120 is an abundant number, since it is smaller than the sum of its proper divisors (127275711503480).

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

100001011210120 is a wasteful number, since it uses less digits than its factorization.

100001011210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30107 (or 30103 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001011210120 its reverse (21012110100001), we get a palindrome (121013121310121).

The spelling of 100001011210120 in words is "one hundred trillion, one billion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 283 334 566 668 835 1132 1336 1415 1670 1907 2264 2830 3340 3814 5660 6680 7628 9535 11320 15256 19070 27739 38140 47261 55478 76280 94522 110956 138695 189044 221912 236305 277390 318469 378088 472610 539681 554780 636938 945220 1079362 1109560 1273876 1592345 1890440 2158724 2547752 2698405 3184690 4317448 4632413 5396810 6369380 7850137 9264826 10793620 12738760 15700274 18529652 21587240 23162065 31400548 37059304 39250685 46324130 52898273 62801096 78501370 90126727 92648260 105796546 157002740 180253454 185296520 211593092 264491365 314005480 360506908 423186184 450633635 528982730 721013816 901267270 1057965460 1310972879 1802534540 2115930920 2621945758 3605069080 5243891516 6554864395 8834011591 10487783032 13109728790 14970211259 17668023182 26219457580 29940422518 35336046364 44170057955 52438915160 59880845036 70672092728 74851056295 88340115910 119761690072 149702112590 176680231820 299404225180 353360463640 598808450360 2500025280253 5000050560506 10000101121012 12500126401265 20000202242024 25000252802530 50000505605060 100001011210120