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122111231000031 = 32713473172297067
BaseRepresentation
bin11011110000111100111100…
…100010111111110111011111
3121000100201102122101010212100
4123300330330202333313133
5112001132300114000111
61111413043004140143
734502150065453110
oct3360747442776737
9530321378333770
10122111231000031
11359aa09a5146a9
1211841b84237653
13531a069217610
1422223023c2207
15e1b5d783b756
hex6f0f3c8bfddf

122111231000031 has 48 divisors (see below), whose sum is σ = 221705497488384. Its totient is φ = 63039887295552.

The previous prime is 122111231000027. The next prime is 122111231000071. The reversal of 122111231000031 is 130000132111221.

It is not a de Polignac number, because 122111231000031 - 22 = 122111231000027 is a prime.

It is a super-2 number, since 2×1221112310000312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111230999968 and 122111231000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111231000071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586110041 + ... + 1586187026.

It is an arithmetic number, because the mean of its divisors is an integer number (4618864531008).

Almost surely, 2122111231000031 is an apocalyptic number.

122111231000031 is a deficient number, since it is larger than the sum of its proper divisors (99594266488353).

122111231000031 is a wasteful number, since it uses less digits than its factorization.

122111231000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172297140 (or 3172297137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122111231000031 its reverse (130000132111221), we get a palindrome (252111363111252).

The spelling of 122111231000031 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred thirty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 39 47 63 91 117 141 273 329 423 611 819 987 1833 2961 4277 5499 12831 38493 3172297067 9516891201 22206079469 28550673603 41239861871 66618238407 123719585613 149097962149 199854715221 288679033097 371158756839 447293886447 866037099291 1043685735043 1341881659341 1938273507937 2598111297873 3131057205129 5814820523811 9393171615387 13567914555559 17444461571433 40703743666677 122111231000031