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100102223132212 = 227127179491320293
BaseRepresentation
bin10110110000101011011101…
…011100110111011000110100
3111010102200100001011200121111
4112300223131130313120310
5101110033323110212322
6552522154303124404
730041101256342620
oct2660533534673064
9433380301150544
10100102223132212
1129994129331424
12b288593ba3704
1343b17a33c6022
141aa0d8b212180
15b88d4dc95177
hex5b0add737634

100102223132212 has 96 divisors (see below), whose sum is σ = 203322016235520. Its totient is φ = 42239032778880.

The previous prime is 100102223132189. The next prime is 100102223132281. The reversal of 100102223132212 is 212231322201001.

It is a super-2 number, since 2×1001022231322122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312373138 + ... + 312693430.

It is an arithmetic number, because the mean of its divisors is an integer number (2117937669120).

Almost surely, 2100102223132212 is an apocalyptic number.

It is an amenable number.

100102223132212 is an abundant number, since it is smaller than the sum of its proper divisors (103219793103308).

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

100102223132212 is a wasteful number, since it uses less digits than its factorization.

100102223132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321101 (or 321099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100102223132212 its reverse (212231322201001), we get a palindrome (312333545333213).

The spelling of 100102223132212 in words is "one hundred trillion, one hundred two billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 127 179 254 358 491 508 716 889 982 1253 1778 1964 2506 3437 3556 5012 6874 13748 22733 45466 62357 87889 90932 124714 159131 175778 249428 318262 320293 351556 436499 615223 636524 640586 872998 1230446 1281172 1745996 2242051 2460892 4484102 8968204 11161903 22323806 40677211 44647612 57332447 78133321 81354422 114664894 156266642 157263863 162708844 229329788 284740477 312533284 314527726 401327129 569480954 629055452 802654258 1100847041 1138961908 1605308516 2201694082 4403388164 7281220769 14562441538 19972510601 28150231477 29124883076 39945021202 50968545383 56300462954 79890042404 101937090766 112600925908 139807574207 197051620339 203874181532 279615148414 394103240678 559230296828 788206481356 3575079397579 7150158795158 14300317590316 25025555783053 50051111566106 100102223132212