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103225225131 = 32713731193369
BaseRepresentation
bin110000000100010110…
…0111110111110101011
3100212102221110202101100
41200020230332332223
53142401124201011
6115230534452443
710313005636140
oct1401054767653
9325387422340
10103225225131
113a860a48516
1218009b04123
139970a70a92
144dd35343c7
152a4246bd56
hex1808b3efab

103225225131 has 24 divisors (see below), whose sum is σ = 170527799520. Its totient is φ = 58942832256.

The previous prime is 103225225079. The next prime is 103225225183. The reversal of 103225225131 is 131522522301.

103225225131 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 522 + 5 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (103225225079) and next prime (103225225183).

It is not a de Polignac number, because 103225225131 - 210 = 103225224107 is a prime.

It is a super-2 number, since 2×1032252251312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103225225095 and 103225225104.

It is not an unprimeable number, because it can be changed into a prime (103225225231) 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, 510186 + ... + 683183.

It is an arithmetic number, because the mean of its divisors is an integer number (7105324980).

Almost surely, 2103225225131 is an apocalyptic number.

103225225131 is a deficient number, since it is larger than the sum of its proper divisors (67302574389).

103225225131 is a wasteful number, since it uses less digits than its factorization.

103225225131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194755 (or 1194752 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 103225225131 its reverse (131522522301), we get a palindrome (234747747432).

The spelling of 103225225131 in words is "one hundred three billion, two hundred twenty-five million, two hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 1373 4119 9611 12357 28833 86499 1193369 3580107 8353583 10740321 25060749 75182247 1638495637 4915486911 11469469459 14746460733 34408408377 103225225131