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10332232131 = 3131312022359
BaseRepresentation
bin10011001111101100…
…10101100111000011
3222200001220202221010
421213312111213003
5132130022412011
64425131332003
7514020344514
oct114766254703
928601822833
1010332232131
114422303a21
1220042b1003
13c88792230
14700326a0b
154071371a6
hex267d959c3

10332232131 has 16 divisors (see below), whose sum is σ = 14949285120. Its totient is φ = 6309756960.

The previous prime is 10332232121. The next prime is 10332232153. The reversal of 10332232131 is 13123223301.

It is not a de Polignac number, because 10332232131 - 26 = 10332232067 is a prime.

It is a super-2 number, since 2×103322321312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332232098 and 10332232107.

It is not an unprimeable number, because it can be changed into a prime (10332232121) 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 15 ways as a sum of consecutive naturals, for example, 1006071 + ... + 1016288.

It is an arithmetic number, because the mean of its divisors is an integer number (934330320).

Almost surely, 210332232131 is an apocalyptic number.

10332232131 is a deficient number, since it is larger than the sum of its proper divisors (4617052989).

10332232131 is a wasteful number, since it uses less digits than its factorization.

10332232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022506.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10332232131 its reverse (13123223301), we get a palindrome (23455455432).

The spelling of 10332232131 in words is "ten billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 131 393 1703 5109 2022359 6067077 26290667 78872001 264929029 794787087 3444077377 10332232131