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12933971225 = 527233598951
BaseRepresentation
bin11000000101110110…
…01011110100011001
31020101101112211000022
430002323023310121
5202442044034400
65535231520225
7635341640630
oct140273136431
936341484008
1012933971225
11553798701a
12260b689075
1312b17c3916
148a9a9c517
1550a75cb85
hex302ecbd19

12933971225 has 48 divisors (see below), whose sum is σ = 19181629440. Its totient is φ = 8458824000.

The previous prime is 12933971177. The next prime is 12933971227. The reversal of 12933971225 is 52217933921.

12933971225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12933971225 - 28 = 12933970969 is a prime.

It is a super-2 number, since 2×129339712252 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12933971227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440500 + ... + 1449450.

It is an arithmetic number, because the mean of its divisors is an integer number (399617280).

Almost surely, 212933971225 is an apocalyptic number.

It is an amenable number.

12933971225 is a deficient number, since it is larger than the sum of its proper divisors (6247658215).

12933971225 is a wasteful number, since it uses less digits than its factorization.

12933971225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9345 counting only the distinct ones).

The product of its digits is 204120, while the sum is 44.

The spelling of 12933971225 in words is "twelve billion, nine hundred thirty-three million, nine hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 7 23 25 35 115 161 175 359 575 805 1795 2513 4025 8257 8951 8975 12565 41285 44755 57799 62657 62825 205873 206425 223775 288995 313285 1029365 1441111 1444975 1566425 3213409 5146825 7205555 16067045 22493863 36027775 73908407 80335225 112469315 369542035 517358849 562346575 1847710175 2586794245 12933971225