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102112112212 = 2211172433101
BaseRepresentation
bin101111100011001011…
…0110010111001010100
3100202120100221202111221
41133012112302321110
53133111200042322
6114524252540124
710243301430025
oct1370626627124
9322510852457
10102112112212
113a33a697290
1217959181644
13982427b696
144d29780c4c
1529c98959c7
hex17c65b2e54

102112112212 has 144 divisors (see below), whose sum is σ = 214112606400. Its totient is φ = 42245952000.

The previous prime is 102112112191. The next prime is 102112112213. The reversal of 102112112212 is 212211211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112112213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011010962 + ... + 1011011062.

It is an arithmetic number, because the mean of its divisors is an integer number (1486893100).

Almost surely, 2102112112212 is an apocalyptic number.

It is an amenable number.

102112112212 is an abundant number, since it is smaller than the sum of its proper divisors (112000494188).

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

102112112212 is a wasteful number, since it uses less digits than its factorization.

102112112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112112212 its reverse (212211211201), we get a palindrome (314323323413).

The spelling of 102112112212 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 11 17 22 34 43 44 68 86 101 172 187 202 289 374 404 473 578 731 748 946 1111 1156 1462 1717 1849 1892 2222 2924 3179 3434 3698 4343 4444 6358 6868 7396 8041 8686 12427 12716 16082 17372 18887 20339 24854 29189 31433 32164 37774 40678 47773 49708 58378 62866 73831 75548 79507 81356 95546 116756 125732 136697 147662 159014 186749 191092 273394 295324 318028 321079 345763 373498 534361 546788 642158 691526 746996 812141 874577 1068722 1255127 1284316 1351619 1383052 1624282 1749154 2054239 2137444 2510254 2703238 3174733 3248564 3498308 4108478 5020508 5406476 5877971 6349466 8030207 8216956 11755942 12698932 13806397 14867809 16060414 22977523 23511884 27612794 29735618 32120828 34922063 45955046 53970461 55225588 59471236 69844126 88332277 91910092 107940922 136513519 139688252 176664554 215881844 252752753 273027038 353329108 505505506 546054076 593675071 1011011012 1187350142 1501648709 2320729823 2374700284 3003297418 4641459646 6006594836 9282919292 25528028053 51056056106 102112112212