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122031223031 = 193710110311667
BaseRepresentation
bin111000110100110100…
…0001011000011110111
3102122222120021102200002
41301221220023003313
53444404443114111
6132021012341515
711550022165304
oct1615150130367
9378876242602
10122031223031
1147831498043
121b79801489b
13b679c742a3
145c9900c0ab
15329348463b
hex1c69a0b0f7

122031223031 has 32 divisors (see below), whose sum is σ = 133441067520. Its totient is φ = 111195504000.

The previous prime is 122031223021. The next prime is 122031223049. The reversal of 122031223031 is 130322130221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122031223031 is a prime.

It is a super-2 number, since 2×1220312230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122031222994 and 122031223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122031223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73203260 + ... + 73204926.

It is an arithmetic number, because the mean of its divisors is an integer number (4170033360).

Almost surely, 2122031223031 is an apocalyptic number.

122031223031 is a deficient number, since it is larger than the sum of its proper divisors (11409844489).

122031223031 is a wasteful number, since it uses less digits than its factorization.

122031223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122031223031 its reverse (130322130221), we get a palindrome (252353353252).

The spelling of 122031223031 in words is "one hundred twenty-two billion, thirty-one million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 19 37 101 703 1031 1667 1919 3737 19589 31673 38147 61679 71003 104131 168367 724793 1171901 1718677 1978489 3198973 3852847 6229579 32654863 63591049 73204093 118362001 173586377 1208229931 3298141163 6422695949 122031223031