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12212154031 = 711198347337
BaseRepresentation
bin10110101111110011…
…01010111010101111
31011112002022200222011
423113321222322233
5200002302412111
65335444502051
7611425411420
oct132771527257
934462280864
1012212154031
1151a7496090
1224499aa927
1311c80b5c5c
1483bc85647
154b71cb021
hex2d7e6aeaf

12212154031 has 16 divisors (see below), whose sum is σ = 16026888960. Its totient is φ = 9015122880.

The previous prime is 12212154007. The next prime is 12212154041. The reversal of 12212154031 is 13045121221.

It is a cyclic number.

It is not a de Polignac number, because 12212154031 - 215 = 12212121263 is a prime.

It is a super-2 number, since 2×122121540312 (a number of 21 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 = 12212153993 and 12212154011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212154041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4172206 + ... + 4175131.

It is an arithmetic number, because the mean of its divisors is an integer number (1001680560).

Almost surely, 212212154031 is an apocalyptic number.

12212154031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12212154031 is a deficient number, since it is larger than the sum of its proper divisors (3814734929).

12212154031 is a wasteful number, since it uses less digits than its factorization.

12212154031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347374.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 12212154031 its reverse (13045121221), we get a palindrome (25257275252).

The spelling of 12212154031 in words is "twelve billion, two hundred twelve million, one hundred fifty-four thousand, thirty-one".

Divisors: 1 7 11 19 77 133 209 1463 8347337 58431359 91820707 158599403 642744949 1110195821 1744593433 12212154031