Search a number
-
+
13121312300 = 2252178392993
BaseRepresentation
bin11000011100001011…
…10101011000101100
31020212110001201122122
430032011311120230
5203333023443200
610010003132112
7643105212545
oct141605653054
936773051578
1013121312300
115623703158
122662374038
131311568025
148c69074cc
1551be16385
hex30e17562c

13121312300 has 72 divisors (see below), whose sum is σ = 30511703376. Its totient is φ = 4880220160.

The previous prime is 13121312299. The next prime is 13121312329. The reversal of 13121312300 is 321312131.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 94604 + ... + 187596.

It is an arithmetic number, because the mean of its divisors is an integer number (423773658).

Almost surely, 213121312300 is an apocalyptic number.

13121312300 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 13121312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255851688).

13121312300 is an abundant number, since it is smaller than the sum of its proper divisors (17390391076).

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

13121312300 is a wasteful number, since it uses less digits than its factorization.

13121312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93107 (or 93100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13121312300 its reverse (321312131), we get a palindrome (13442624431).

The spelling of 13121312300 in words is "thirteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 83 85 100 166 170 332 340 415 425 830 850 1411 1660 1700 2075 2822 4150 5644 7055 8300 14110 28220 35275 70550 92993 141100 185986 371972 464965 929930 1580881 1859860 2324825 3161762 4649650 6323524 7718419 7904405 9299300 15436838 15808810 30873676 31617620 38592095 39522025 77184190 79044050 131213123 154368380 158088100 192960475 262426246 385920950 524852492 656065615 771841900 1312131230 2624262460 3280328075 6560656150 13121312300