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100102212112182 = 23723316749891901
BaseRepresentation
bin10110110000101011011100…
…110010110100111100110110
3111010102200022021102210222020
4112300223130302310330312
5101110033312300042212
6552522153231014010
730041101063564350
oct2660533462647466
9433380267383866
10100102212112182
1129994123094965
12b28859036a306
1343b17a10380b7
141aa0d899840d0
15b88d4cd19d8c
hex5b0adccb4f36

100102212112182 has 128 divisors (see below), whose sum is σ = 250133250244608. Its totient is φ = 26079493968000.

The previous prime is 100102212112093. The next prime is 100102212112183. The reversal of 100102212112182 is 281211212201001.

It is a super-2 number, since 2×1001022121121822 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102212112183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22939569 + ... + 26952332.

It is an arithmetic number, because the mean of its divisors is an integer number (1954166017536).

Almost surely, 2100102212112182 is an apocalyptic number.

100102212112182 is an abundant number, since it is smaller than the sum of its proper divisors (150031038132426).

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

100102212112182 is a wasteful number, since it uses less digits than its factorization.

100102212112182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49892034.

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 100102212112182 its reverse (281211212201001), we get a palindrome (381313424313183).

The spelling of 100102212112182 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 67 69 93 134 138 161 186 201 217 322 402 434 469 483 651 713 938 966 1302 1407 1426 1541 2077 2139 2814 3082 4154 4278 4623 4991 6231 9246 9982 10787 12462 14539 14973 21574 29078 29946 32361 43617 47771 64722 87234 95542 143313 286626 334397 668794 1003191 2006382 49891901 99783802 149675703 299351406 349243307 698486614 1047729921 1147513723 1546648931 2095459842 2295027446 3093297862 3342757367 3442541169 4639946793 6685514734 6885082338 8032596061 9279893586 10028272101 10826542517 16065192122 20056544202 21653085034 23399301569 24097788183 32479627551 35572925413 46798603138 48195576366 64959255102 70197904707 71145850826 76883419441 103625478377 106718776239 140395809414 153766838882 207250956754 213437552478 230650258323 249010477891 310876435131 461300516646 498020955782 538183936087 621752870262 725378348639 747031433673 1076367872174 1450756697278 1494062867346 1614551808261 2176135045917 2383386002671 3229103616522 4352270091834 4766772005342 7150158008013 14300316016026 16683702018697 33367404037394 50051106056091 100102212112182