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100112210200002 = 2371113140911830163
BaseRepresentation
bin10110110000110100110000…
…101110100000010111000010
3111010110122010001121022002010
4112300310300232200113002
5101110214301302400002
6552530525304433350
730041603616123420
oct2660646056402702
9433418101538063
10100112210200002
1129998393813260
12b28a500778856
1343b27055060b0
141aa165776a110
15b8923594b46c
hex5b0d30ba05c2

100112210200002 has 128 divisors (see below), whose sum is σ = 269023607838720. Its totient is φ = 23985890058240.

The previous prime is 100112210199997. The next prime is 100112210200069. The reversal of 100112210200002 is 200002012211001.

It is a super-2 number, since 2×1001122102000022 (a number of 29 digits) contains 22 as substring.

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, 2547373 + ... + 14377535.

It is an arithmetic number, because the mean of its divisors is an integer number (2101746936240).

Almost surely, 2100112210200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112210200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134511803919360).

100112210200002 is an abundant number, since it is smaller than the sum of its proper divisors (168911397638718).

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

100112210200002 is a wasteful number, since it uses less digits than its factorization.

100112210200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831608.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112210200002 its reverse (200002012211001), we get a palindrome (300114222411003).

The spelling of 100112210200002 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, two hundred thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1409 2002 2818 3003 4227 6006 8454 9863 15499 18317 19726 29589 30998 36634 46497 54951 59178 92994 108493 109902 128219 201487 216986 256438 325479 384657 402974 604461 650958 769314 1208922 1410409 2820818 4231227 8462454 11830163 23660326 35490489 70980978 82811141 130131793 153792119 165622282 248433423 260263586 307584238 390395379 461376357 496866846 780790758 910922551 922752714 1076544833 1691713309 1821845102 2153089666 2732767653 3229634499 3383426618 5075139927 5465535306 6459268998 10150279854 11841993163 16668699667 23683986326 33337399334 35525979489 50006099001 71051958978 100012198002 116680897669 183355696337 216693095671 233361795338 350042693007 366711392674 433386191342 550067089011 650079287013 700085386014 1100134178022 1283489874359 1300158574026 1516851669697 2383624052381 2566979748718 3033703339394 3850469623077 4550555009091 4767248104762 7150872157143 7700939246154 9101110018182 14301744314286 16685368366667 33370736733334 50056105100001 100112210200002