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122020123010031 = 32112918013666667
BaseRepresentation
bin11011101111101000000110…
…000101100110001111101111
3121000001000021011121201012100
4123233220012011212033233
5111443134202442310111
61111303134243510143
734462443253355031
oct3357500605461757
9530030234551170
10122020123010031
11359744974212a4
1211828398388353
1353115a99a796c
14221bb3c2a5c51
15e1905409b756
hex6efa061663ef

122020123010031 has 24 divisors (see below), whose sum is σ = 176417459500880. Its totient is φ = 81270062729856.

The previous prime is 122020123009987. The next prime is 122020123010057. The reversal of 122020123010031 is 130010321020221.

122020123010031 is a `hidden beast` number, since 1 + 220 + 201 + 230 + 10 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 122020123010031 - 211 = 122020123007983 is a prime.

It is a super-2 number, since 2×1220201230100312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122020123009986 and 122020123010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020123010231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182696760 + ... + 183363426.

Almost surely, 2122020123010031 is an apocalyptic number.

122020123010031 is a deficient number, since it is larger than the sum of its proper divisors (54397336490849).

122020123010031 is a wasteful number, since it uses less digits than its factorization.

122020123010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685815 (or 685812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122020123010031 its reverse (130010321020221), we get a palindrome (252030444030252).

The spelling of 122020123010031 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-three million, ten thousand, thirty-one".

Divisors: 1 3 9 1129 3387 10161 18013 54039 162117 666667 2000001 6000003 20336677 61010031 183030093 752667043 2258001129 6774003387 12008672671 36026018013 108078054039 13557791445559 40673374336677 122020123010031