Search a number
-
+
102213100122 = 23741834791493
BaseRepresentation
bin101111100110001100…
…0000010001001011010
3100202211101222110212220
41133030120002021122
53133313023200442
6114542301244510
710245636005310
oct1371430021132
9322741873786
10102213100122
113a3916a2a71
1217986b63736
13983c179a43
144d38d4c0b0
1529d3692eec
hex17cc60225a

102213100122 has 128 divisors (see below), whose sum is σ = 242879938560. Its totient is φ = 28070607360.

The previous prime is 102213100097. The next prime is 102213100133. The reversal of 102213100122 is 221001312201.

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, 68460808 + ... + 68462300.

It is an arithmetic number, because the mean of its divisors is an integer number (1897499520).

Almost surely, 2102213100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121439969280).

102213100122 is an abundant number, since it is smaller than the sum of its proper divisors (140666838438).

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

102213100122 is a wasteful number, since it uses less digits than its factorization.

102213100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102213100122 its reverse (221001312201), we get a palindrome (323214412323).

The spelling of 102213100122 in words is "one hundred two billion, two hundred thirteen million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 83 123 166 246 249 287 479 498 574 581 861 958 1162 1437 1493 1722 1743 2874 2986 3353 3403 3486 4479 6706 6806 8958 10059 10209 10451 19639 20118 20418 20902 23821 31353 39278 39757 47642 58917 61213 62706 71463 79514 117834 119271 122426 123919 137473 142926 183639 238542 247838 274946 278299 367278 371757 412419 428491 556598 715147 743514 824838 834897 856982 867433 1285473 1430294 1630037 1669794 1734866 2145441 2570946 2602299 3260074 4290882 4890111 5006029 5080679 5204598 9780222 10012058 10161358 11410259 15018087 15242037 22820518 29321027 30036174 30484074 34230777 35564753 58642054 59357201 68461554 71129506 87963081 106694259 118714402 175926162 178071603 205247189 213388518 356143206 410494378 415500407 615741567 831000814 1231483134 1246501221 2433645241 2493002442 4867290482 7300935723 14601871446 17035516687 34071033374 51106550061 102213100122