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13312102100 = 22521113192381
BaseRepresentation
bin11000110010111011…
…01000111011010100
31021100202001212001112
430121131220323110
5204230344231400
610040540314152
7650613000203
oct143135507324
937322055045
1013312102100
115711375380
1226b6242958
131341c490bb
14903dad23a
1552da51835
hex319768ed4

13312102100 has 72 divisors (see below), whose sum is σ = 31754280096. Its totient is φ = 4803760000.

The previous prime is 13312102079. The next prime is 13312102117. The reversal of 13312102100 is 120121331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97910 + ... + 190290.

It is an arithmetic number, because the mean of its divisors is an integer number (441031668).

Almost surely, 213312102100 is an apocalyptic number.

13312102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877140048).

13312102100 is an abundant number, since it is smaller than the sum of its proper divisors (18442177996).

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

13312102100 is a wasteful number, since it uses less digits than its factorization.

13312102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92537 (or 92530 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13312102100 its reverse (120121331), we get a palindrome (13432223431).

The spelling of 13312102100 in words is "thirteen billion, three hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 13100 14410 28820 36025 72050 92381 144100 184762 369524 461905 923810 1016191 1847620 2032382 2309525 4064764 4619050 5080955 9238100 10161910 12101911 20323820 24203822 25404775 48407644 50809550 60509555 101619100 121019110 133121021 242038220 266242042 302547775 532484084 605095550 665605105 1210191100 1331210210 2662420420 3328025525 6656051050 13312102100