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103313121132 = 223134315401479
BaseRepresentation
bin110000000110111110…
…0010001111101101100
3100212200001212100000210
41200031330101331230
53143041124334012
6115243354422420
710315124016534
oct1401574217554
9325601770023
10103313121132
113a8a6622041
1218033431a10
139986037150
1450010944c4
152a4a03023c
hex180df11f6c

103313121132 has 48 divisors (see below), whose sum is σ = 265644727040. Its totient is φ = 31049379648.

The previous prime is 103313121077. The next prime is 103313121173. The reversal of 103313121132 is 231121313301.

It is a happy number.

It is a super-2 number, since 2×1033131211322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103313121099 and 103313121108.

It is an unprimeable number.

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, 7694032 + ... + 7707447.

Almost surely, 2103313121132 is an apocalyptic number.

103313121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313121132 is an abundant number, since it is smaller than the sum of its proper divisors (162331605908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103313121132 is a wasteful number, since it uses less digits than its factorization.

103313121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401542 (or 15401540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103313121132 its reverse (231121313301), we get a palindrome (334434434433).

The spelling of 103313121132 in words is "one hundred three billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 15401479 30802958 46204437 61605916 92408874 184817748 200219227 400438454 600657681 662263597 800876908 1201315362 1324527194 1986790791 2402630724 2649054388 3973581582 7947163164 8609426761 17218853522 25828280283 34437707044 51656560566 103313121132