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20125220031 = 3272179146603
BaseRepresentation
bin10010101111100011…
…100111110010111111
31220221120011002211200
4102233203213302333
5312204024020111
613125001150543
71311502355610
oct225743476277
956846132750
1020125220031
118598186754
123a97a8b453
131b8960b827
14d8cb9dc07
157cbc53256
hex4af8e7cbf

20125220031 has 24 divisors (see below), whose sum is σ = 33238058880. Its totient is φ = 11494769616.

The previous prime is 20125220009. The next prime is 20125220047. The reversal of 20125220031 is 13002252102.

It is not a de Polignac number, because 20125220031 - 219 = 20124695743 is a prime.

It is a super-2 number, since 2×201252200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20125219986 and 20125220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125220051) 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 23 ways as a sum of consecutive naturals, for example, 63976 + ... + 210578.

It is an arithmetic number, because the mean of its divisors is an integer number (1384919120).

Almost surely, 220125220031 is an apocalyptic number.

20125220031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20125220031 is a deficient number, since it is larger than the sum of its proper divisors (13112838849).

20125220031 is a wasteful number, since it uses less digits than its factorization.

20125220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148795 (or 148792 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20125220031 its reverse (13002252102), we get a palindrome (33127472133).

The spelling of 20125220031 in words is "twenty billion, one hundred twenty-five million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 7 9 21 63 2179 6537 15253 19611 45759 137277 146603 439809 1026221 1319427 3078663 9235989 319447937 958343811 2236135559 2875031433 6708406677 20125220031