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122330041335029 = 11261891791040339
BaseRepresentation
bin11011110100001000101110…
…101010001011110011110101
3121001010122012220121212000202
4123310020232222023303311
5112013223411040210104
61112101351205050245
734524024314561663
oct3364105652136365
9531118186555022
10122330041335029
1135a83974217a00
121187846b3b6985
13533489a5c8118
14222cb3c789c33
15e2214238351e
hex6f422ea8bcf5

122330041335029 has 48 divisors (see below), whose sum is σ = 138974026968000. Its totient is φ = 107552639251200.

The previous prime is 122330041335013. The next prime is 122330041335049. The reversal of 122330041335029 is 920533140033221.

It is not a de Polignac number, because 122330041335029 - 24 = 122330041335013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122330041334983 and 122330041335001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330041335049) 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, 117066542 + ... + 118106880.

It is an arithmetic number, because the mean of its divisors is an integer number (2895292228500).

Almost surely, 2122330041335029 is an apocalyptic number.

It is an amenable number.

122330041335029 is a deficient number, since it is larger than the sum of its proper divisors (16643985632971).

122330041335029 is a wasteful number, since it uses less digits than its factorization.

122330041335029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040690 (or 1040679 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 122330041335029 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-one million, three hundred thirty-five thousand, twenty-nine".

Divisors: 1 11 61 89 121 179 671 979 1969 5429 7381 10769 10919 15931 21659 59719 120109 175241 656909 971791 1040339 1321199 1927651 10689701 11443729 63460679 92590171 117586711 125881019 186220681 698067469 1018491881 2048427491 5648000431 7678742159 11203410691 11359461541 16573640609 22532702401 62128004741 124954076951 182310046699 683408052151 1010992077149 1374494846461 2005410513689 11120912848639 122330041335029