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13312430300 = 22521324142491
BaseRepresentation
bin11000110010111101…
…11001000011011100
31021100202200112021002
430121132321003130
5204230440232200
610040551325432
7650615535101
oct143136710334
937322615232
1013312430300
115711579a14
1226b6380878
1313420325c0
14904056aa8
1552dab8bd5
hex3197b90dc

13312430300 has 72 divisors (see below), whose sum is σ = 31239948432. Its totient is φ = 4894848000.

The previous prime is 13312430297. The next prime is 13312430317. The reversal of 13312430300 is 303421331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 292055 + ... + 334545.

Almost surely, 213312430300 is an apocalyptic number.

13312430300 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 13312430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619974216).

13312430300 is an abundant number, since it is smaller than the sum of its proper divisors (17927518132).

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

13312430300 is a wasteful number, since it uses less digits than its factorization.

13312430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42759 (or 42752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13312430300 its reverse (303421331), we get a palindrome (13615851631).

The spelling of 13312430300 in words is "thirteen billion, three hundred twelve million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 241 260 325 482 650 964 1205 1300 2410 3133 4820 6025 6266 12050 12532 15665 24100 31330 42491 62660 78325 84982 156650 169964 212455 313300 424910 552383 849820 1062275 1104766 2124550 2209532 2761915 4249100 5523830 10240331 11047660 13809575 20480662 27619150 40961324 51201655 55238300 102403310 133124303 204806620 256008275 266248606 512016550 532497212 665621515 1024033100 1331243030 2662486060 3328107575 6656215150 13312430300