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100102100011110 = 23254726317899221
BaseRepresentation
bin10110110000101011010110…
…000111001100100001100110
3111010102200000110111111012200
4112300223112013030201212
5101110033100100323420
6552522134144155330
730041065233002151
oct2660532607144146
9433380013444180
10100102100011110
112999407588874a
12b28855a908b46
1343b1783a485c2
141aa0d78b22c98
15b88d43074b90
hex5b0ad61cc866

100102100011110 has 96 divisors (see below), whose sum is σ = 265813418662272. Its totient is φ = 26124916366080.

The previous prime is 100102100011021. The next prime is 100102100011141. The reversal of 100102100011110 is 11110001201001.

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 = 100102100011092 and 100102100011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110871300 + ... + 111770520.

It is an arithmetic number, because the mean of its divisors is an integer number (2768889777732).

Almost surely, 2100102100011110 is an apocalyptic number.

100102100011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102100011110 is an abundant number, since it is smaller than the sum of its proper divisors (165711318651162).

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

100102100011110 is a wasteful number, since it uses less digits than its factorization.

100102100011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925598 (or 925595 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100102100011110 its reverse (11110001201001), we get a palindrome (111212101212111).

The spelling of 100102100011110 in words is "one hundred trillion, one hundred two billion, one hundred million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 26317 52634 78951 131585 157902 236853 263170 394755 473706 789510 899221 1184265 1236899 1798442 2368530 2473798 2697663 3710697 4496105 5395326 6184495 7421394 8092989 8992210 11132091 12368990 13488315 16185978 18553485 22264182 26976630 37106970 40464945 42263387 55660455 80929890 84526774 111320910 126790161 211316935 253580322 380370483 422633870 633950805 760740966 1267901610 1901852415 3803704830 23664799057 47329598114 70994397171 118323995285 141988794342 212983191513 236647990570 354971985855 425966383026 709943971710 1064915957565 1112245555679 2129831915130 2224491111358 3336736667037 5561227778395 6673473334074 10010210001111 11122455556790 16683683335185 20020420002222 33367366670370 50051050005555 100102100011110