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100102012011105 = 35131739773037159
BaseRepresentation
bin10110110000101011010000…
…110111100000001001100001
3111010102122210022220121220020
4112300223100313200021201
5101110032410033323410
6552522121322104053
730041063114006316
oct2660532067401141
9433378708817806
10100102012011105
1129994030142a75
12b28853534b029
1343b176b746ab0
141aa0d6b176d0d
15b88d3a490a70
hex5b0ad0de0261

100102012011105 has 64 divisors (see below), whose sum is σ = 173658102750720. Its totient is φ = 48945963626496.

The previous prime is 100102012011091. The next prime is 100102012011137. The reversal of 100102012011105 is 501110210201001.

It is not a de Polignac number, because 100102012011105 - 211 = 100102012009057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31440516 + ... + 34477674.

It is an arithmetic number, because the mean of its divisors is an integer number (2713407855480).

Almost surely, 2100102012011105 is an apocalyptic number.

100102012011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100102012011105 is a deficient number, since it is larger than the sum of its proper divisors (73556090739615).

100102012011105 is a wasteful number, since it uses less digits than its factorization.

100102012011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038330.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 100102012011105 its reverse (501110210201001), we get a palindrome (601212222212106).

The spelling of 100102012011105 in words is "one hundred trillion, one hundred two billion, twelve million, eleven thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 173 195 519 865 977 2249 2595 2931 4885 6747 11245 12701 14655 33735 38103 63505 169021 190515 507063 845105 2197273 2535315 3037159 6591819 9111477 10986365 15185795 32959095 39483067 45557385 118449201 197415335 525428507 592246005 1576285521 2627142535 2967304343 6830570591 7881427605 8901913029 14836521715 20491711773 34152852955 38574956459 44509565145 102458558865 115724869377 192874782295 513343651339 578624346885 1540030954017 2566718256695 6673467467407 7700154770085 20020402402221 33367337337035 100102012011105