Search a number
-
+
102212227532136 = 23319673345516743
BaseRepresentation
bin10111001111011000100011…
…100000111000010101101000
3111101220101121212201001111210
4113033120203200320111220
5101344121120222012021
61001215352112153120
730346406165665131
oct2717304340702550
9441811555631453
10102212227532136
112a627a64858017
12b5694b82387a0
134505758037ba7
141b351536acc88
15bc3b94438e76
hex5cf623838568

102212227532136 has 64 divisors (see below), whose sum is σ = 272994166310400. Its totient is φ = 31795791115968.

The previous prime is 102212227532089. The next prime is 102212227532159. The reversal of 102212227532136 is 631235722212201.

It is a super-2 number, since 2×1022122275321362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212227532094 and 102212227532103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672727820 + ... + 1672788923.

It is an arithmetic number, because the mean of its divisors is an integer number (4265533848600).

Almost surely, 2102212227532136 is an apocalyptic number.

It is an amenable number.

102212227532136 is an abundant number, since it is smaller than the sum of its proper divisors (170781938778264).

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

102212227532136 is a wasteful number, since it uses less digits than its factorization.

102212227532136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345516838 (or 3345516834 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 102212227532136 its reverse (631235722212201), we get a palindrome (733447949744337).

The spelling of 102212227532136 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-seven million, five hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1608 2546 3819 5092 7638 10184 15276 30552 3345516743 6691033486 10036550229 13382066972 20073100458 26764133944 40146200916 63564818117 80292401832 127129636234 190694454351 224149621781 254259272468 381388908702 448299243562 508518544936 672448865343 762777817404 896598487124 1344897730686 1525555634808 1793196974248 2689795461372 4258842813839 5379590922744 8517685627678 12776528441517 17035371255356 25553056883034 34070742510712 51106113766068 102212227532136