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103332132033 = 313197108712373
BaseRepresentation
bin110000000111100010…
…0110011010011000001
3100212201101122012002020
41200033010303103001
53143111011211113
6115245314112053
710315444426104
oct1401704632301
9325641565066
10103332132033
113a906327229
121803987b629
139989c622c0
14500380273b
152a4ba38023
hex180f1334c1

103332132033 has 32 divisors (see below), whose sum is σ = 149276768256. Its totient is φ = 63202906368.

The previous prime is 103332131971. The next prime is 103332132037. The reversal of 103332132033 is 330231233301.

It is not a de Polignac number, because 103332132033 - 212 = 103332127937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103332131994 and 103332132012.

It is not an unprimeable number, because it can be changed into a prime (103332132037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8345235 + ... + 8357607.

It is an arithmetic number, because the mean of its divisors is an integer number (4664899008).

Almost surely, 2103332132033 is an apocalyptic number.

103332132033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103332132033 is a deficient number, since it is larger than the sum of its proper divisors (45944636223).

103332132033 is a wasteful number, since it uses less digits than its factorization.

103332132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13673.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103332132033 its reverse (330231233301), we get a palindrome (433563365334).

The spelling of 103332132033 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 13 39 197 591 1087 2561 3261 7683 12373 14131 37119 42393 160849 214139 482547 642417 2437481 2783807 7312443 8351421 13449451 31687253 40348353 95061759 174842863 524528589 2649541847 7948625541 34444044011 103332132033