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100220112200010 = 235117922716935109
BaseRepresentation
bin10110110010011001010000…
…001011111110000101001010
3111010211221121221020211111210
4112302121100023332011022
5101114001242210400020
6553052252311033550
730052443544030005
oct2662312013760512
9433757557224453
10100220112200010
1129a2a124670980
12b2a73b496b8b6
1343bc94016558a
141aa697206453c
15b8be4d7743e0
hex5b26502fe14a

100220112200010 has 128 divisors (see below), whose sum is σ = 266886495129600. Its totient is φ = 23882566705920.

The previous prime is 100220112199979. The next prime is 100220112200029. The reversal of 100220112200010 is 10002211022001.

It is a super-3 number, since 3×1002201122000103 (a number of 43 digits) contains 333 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, 2549665 + ... + 14385444.

It is an arithmetic number, because the mean of its divisors is an integer number (2085050743200).

Almost surely, 2100220112200010 is an apocalyptic number.

100220112200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220112200010 is an abundant number, since it is smaller than the sum of its proper divisors (166666382929590).

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

100220112200010 is a wasteful number, since it uses less digits than its factorization.

100220112200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16935436.

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

Adding to 100220112200010 its reverse (10002211022001), we get a palindrome (110222323222011).

The spelling of 100220112200010 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 227 237 330 395 454 474 681 790 869 1135 1185 1362 1738 2270 2370 2497 2607 3405 4345 4994 5214 6810 7491 8690 12485 13035 14982 17933 24970 26070 35866 37455 53799 74910 89665 107598 179330 197263 268995 394526 537990 591789 986315 1183578 1972630 2958945 5917890 16935109 33870218 50805327 84675545 101610654 169351090 186286199 254026635 372572398 508053270 558858597 931430995 1117717194 1337873611 1862861990 2675747222 2794292985 3844269743 4013620833 5588585970 6689368055 7688539486 8027241666 11532809229 13378736110 14716609721 19221348715 20068104165 23065618458 29433219442 38442697430 40136208330 42286967173 44149829163 57664046145 73583048605 84573934346 88299658326 115328092290 126860901519 147166097210 211434835865 220749145815 253721803038 303697309697 422869671730 441498291630 607394619394 634304507595 911091929091 1268609015190 1518486548485 1822183858182 3036973096970 3340670406667 4555459645455 6681340813334 9110919290910 10022011220001 16703352033335 20044022440002 33406704066670 50110056100005 100220112200010