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122313110431031 = 13192915123322083
BaseRepresentation
bin11011110011111000111101…
…011111111010010100110111
3121001002000111222010211000022
4123303320331133322110313
5112012434222232243111
61112045511153035355
734522554620350562
oct3363707537722467
9531060458124008
10122313110431031
1135a77776162163
1211875125255b5b
1353330cca17c30
14222bdb3d354d9
15e219a0ca92db
hex6f3e3d7fa537

122313110431031 has 96 divisors (see below), whose sum is σ = 145077589977600. Its totient is φ = 102100453862400.

The previous prime is 122313110431007. The next prime is 122313110431091. The reversal of 122313110431031 is 130134011313221.

It is not a de Polignac number, because 122313110431031 - 214 = 122313110414647 is a prime.

It is a super-2 number, since 2×1223131104310312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313110431091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58719687116 + ... + 58719689198.

It is an arithmetic number, because the mean of its divisors is an integer number (1511224895600).

Almost surely, 2122313110431031 is an apocalyptic number.

122313110431031 is a deficient number, since it is larger than the sum of its proper divisors (22764479546569).

122313110431031 is a wasteful number, since it uses less digits than its factorization.

122313110431031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122313110431031 its reverse (130134011313221), we get a palindrome (252447121744252).

The spelling of 122313110431031 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred ten million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 13 19 29 151 233 247 377 551 1963 2083 2869 3029 4379 4427 6757 7163 27079 35183 37297 39577 54289 56927 57551 60407 83201 87841 128383 314533 457379 485339 514501 668477 705757 785291 1020307 1031491 1081613 1147733 1574381 1668979 4088929 5976127 6309407 8197639 8690201 9121457 9221441 13263991 13409383 14074831 14920529 19385833 20466953 29913239 73286189 77689651 106569307 113083987 118578941 119878733 155755141 173307683 182972803 237731531 252015829 267421789 388872107 952720457 1392437591 1470091831 2024816833 2125299481 2148595753 2252999879 3090509903 3279435623 3476483257 4516899089 17075682037 18101688683 27628893253 27931744789 40380690139 42632663099 58719688157 62309276837 221983866481 324437958703 495194779073 524948971807 810020598881 4217693463139 6437532127949 9408700802387 122313110431031