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10332213131 = 171998633539
BaseRepresentation
bin10011001111101100…
…10000111110001011
3222200001212210212102
421213312100332023
5132130021310011
64425131104015
7514020235232
oct114766207613
928601783772
1010332213131
1144222a0719
1220042a200b
13c887866a6
1470031db19
1540713173b
hex267d90f8b

10332213131 has 16 divisors (see below), whose sum is σ = 11010816000. Its totient is φ = 9661627008.

The previous prime is 10332213113. The next prime is 10332213137. The reversal of 10332213131 is 13131223301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10332213131 is a prime.

It is a super-2 number, since 2×103322131312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10332213137) 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, 2917760 + ... + 2921298.

It is an arithmetic number, because the mean of its divisors is an integer number (688176000).

Almost surely, 210332213131 is an apocalyptic number.

10332213131 is a deficient number, since it is larger than the sum of its proper divisors (678602869).

10332213131 is a wasteful number, since it uses less digits than its factorization.

10332213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10332213131 its reverse (13131223301), we get a palindrome (23463436432).

The spelling of 10332213131 in words is "ten billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 17 199 863 3383 3539 14671 60163 171737 704261 2919529 3054157 11972437 51920669 607777243 10332213131