Search a number
-
+
2114011321310 = 257231780916823
BaseRepresentation
bin11110110000110100111…
…001001101001111011110
321111002122002021001201002
4132300310321031033132
5234113443344240220
64255055143150302
7305506112513600
oct36606471151736
97432562231632
102114011321310
11745602307a79
122a1862145392
13124472b17a85
14744666d3170
1539ecc334c75
hex1ec34e4d3de

2114011321310 has 96 divisors (see below), whose sum is σ = 4446197593920. Its totient is φ = 721581439488.

The previous prime is 2114011321297. The next prime is 2114011321349. The reversal of 2114011321310 is 131231104112.

It is a super-2 number, since 2×21140113213102 (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 125653559 + ... + 125670381.

It is an arithmetic number, because the mean of its divisors is an integer number (46314558270).

Almost surely, 22114011321310 is an apocalyptic number.

2114011321310 is an abundant number, since it is smaller than the sum of its proper divisors (2332186272610).

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

2114011321310 is a wasteful number, since it uses less digits than its factorization.

2114011321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2114011321310 its reverse (131231104112), we get a palindrome (2245242425422).

The spelling of 2114011321310 in words is "two trillion, one hundred fourteen billion, eleven million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 317 490 634 809 1585 1618 2219 3170 4045 4438 5663 8090 11095 11326 15533 16823 22190 28315 31066 33646 39641 56630 77665 79282 84115 117761 155330 168230 198205 235522 256453 396410 512906 588805 824327 1177610 1282265 1648654 1795171 2564530 3590342 4121635 5332891 8243270 8975855 10665782 12566197 13609807 17951710 25132394 26664455 27219614 37330237 53328910 62830985 68049035 74660474 95268649 125661970 136098070 186651185 190537298 261311659 373302370 476343245 522623318 666880543 952686490 1306558295 1333761086 2613116590 3334402715 4314308819 6668805430 8628617638 21571544095 30200161733 43143088190 60400323466 151000808665 211401132131 302001617330 422802264262 1057005660655 2114011321310