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130103332312122 = 23413371669661101
BaseRepresentation
bin11101100101010000001010…
…111010000001010000111010
3122001122202102220222121220000
4131211100022322001100322
5114023103111032441442
61140412351252013430
736255440600650611
oct3545201272012072
9561582386877800
10130103332312122
1138500571337794
1212712a92901276
1357798cb57b440
14241b06ba0a878
151009446119d4c
hex76540ae8143a

130103332312122 has 80 divisors (see below), whose sum is σ = 322438273373832. Its totient is φ = 38949854140800.

The previous prime is 130103332312117. The next prime is 130103332312139. The reversal of 130103332312122 is 221213233301031.

130103332312122 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 3 + 332 + 312 + 12 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88056809731881 + 42046522580241 = 9383859^2 + 6484329^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 834752629 + ... + 834908472.

Almost surely, 2130103332312122 is an apocalyptic number.

130103332312122 is an abundant number, since it is smaller than the sum of its proper divisors (192334941061710).

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

130103332312122 is a wasteful number, since it uses less digits than its factorization.

130103332312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669661165 (or 1669661156 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 130103332312122 its reverse (221213233301031), we get a palindrome (351316565613153).

The spelling of 130103332312122 in words is "one hundred thirty trillion, one hundred three billion, three hundred thirty-two million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1053 1443 1998 2106 2886 2997 4329 5994 8658 12987 25974 38961 77922 1669661101 3339322202 5008983303 10017966606 15026949909 21705594313 30053899818 43411188626 45080849727 61777460737 65116782939 90161699454 123554921474 130233565878 135242549181 185332382211 195350348817 270485098362 370664764422 390700697634 555997146633 586051046451 803106989581 1111994293266 1172102092902 1606213979162 1667991439899 1758153139353 2409320968743 3335982879798 3516306278706 4818641937486 5003974319697 7227962906229 10007948639394 14455925812458 21683888718687 43367777437374 65051666156061 130103332312122