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122231312243131 = 71343379389211877
BaseRepresentation
bin11011110010101100110001…
…111100100101100110111011
3121000210012101022102022221111
4123302230301330211212323
5112010114211413240011
61111544142322021151
734513630602256630
oct3362546174454673
9530705338368844
10122231312243131
1135a46010219983
12118612b71a77b7
1353284951a8b10
142228054436187
15e1e7b49de121
hex6f2b31f259bb

122231312243131 has 64 divisors (see below), whose sum is σ = 154740774988800. Its totient is φ = 93969534951936.

The previous prime is 122231312243129. The next prime is 122231312243137. The reversal of 122231312243131 is 131342213132221.

It is not a de Polignac number, because 122231312243131 - 21 = 122231312243129 is a prime.

It is a super-2 number, since 2×1222313122431312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122231312243093 and 122231312243102.

It is not an unprimeable number, because it can be changed into a prime (122231312243137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576791565 + ... + 577003441.

It is an arithmetic number, because the mean of its divisors is an integer number (2417824609200).

Almost surely, 2122231312243131 is an apocalyptic number.

122231312243131 is a deficient number, since it is larger than the sum of its proper divisors (32509462745669).

122231312243131 is a wasteful number, since it uses less digits than its factorization.

122231312243131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212708.

The product of its digits is 10368, while the sum is 31.

Adding to 122231312243131 its reverse (131342213132221), we get a palindrome (253573525375352).

The spelling of 122231312243131 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, three hundred twelve million, two hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 43 91 301 379 389 559 2653 2723 3913 4927 5057 16297 16727 34489 35399 114079 117089 147431 211861 211877 217451 1032017 1483027 1483139 1522157 1916603 2754401 6339533 9110711 13416221 19280807 44376731 63774977 80301383 82413929 82420153 118439243 562109681 576897503 576941071 829074701 1043917979 1071461989 3452959469 3544066579 7307425853 7500233923 24170716283 24808466053 31237237987 44888473097 46072865527 218660665909 314219311679 322510058689 406084093831 1343201233441 2842588656817 9402408634087 17461616034733 122231312243131