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103332113131 = 1389154357881
BaseRepresentation
bin110000000111100010…
…0101110101011101011
3100212201101121020011011
41200033010232223223
53143111010110011
6115245313444351
710315444320022
oct1401704565353
9325641536134
10103332113131
113a906314005
12180398706b7
139989c56810
1450037d98b9
152a4ba32621
hex180f12eaeb

103332113131 has 16 divisors (see below), whose sum is σ = 112605958080. Its totient is φ = 94249013760.

The previous prime is 103332113113. The next prime is 103332113221. The reversal of 103332113131 is 131311233301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103332113131 is a prime.

It is a super-2 number, since 2×1033321131312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103332513131) 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, 1756311 + ... + 1814191.

It is an arithmetic number, because the mean of its divisors is an integer number (7037872380).

Almost surely, 2103332113131 is an apocalyptic number.

103332113131 is a deficient number, since it is larger than the sum of its proper divisors (9273844949).

103332113131 is a wasteful number, since it uses less digits than its factorization.

103332113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59526.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 103332113131 its reverse (131311233301), we get a palindrome (234643346432).

The spelling of 103332113131 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 13 89 1157 1543 20059 57881 137327 752453 1785251 5151409 66968317 89310383 1161034979 7948624087 103332113131