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20131213300 = 22521119792899
BaseRepresentation
bin10010101111111010…
…011110111111110100
31220221222102121001121
4102233322132333310
5312212042311200
613125333433324
71311604326652
oct225772367764
956858377047
1020131213300
1185a05aa570
123a99a9b844
131b8a929743
14d8d8bddd2
157cc538e1a
hex4afe9eff4

20131213300 has 72 divisors (see below), whose sum is σ = 47898496800. Its totient is φ = 7283203200.

The previous prime is 20131213283. The next prime is 20131213303. The reversal of 20131213300 is 331213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131213303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170251 + ... + 263149.

It is an arithmetic number, because the mean of its divisors is an integer number (665256900).

Almost surely, 220131213300 is an apocalyptic number.

20131213300 is a gapful number since it is divisible by the number (20) 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 20131213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949248400).

20131213300 is an abundant number, since it is smaller than the sum of its proper divisors (27767283500).

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

20131213300 is a wasteful number, since it uses less digits than its factorization.

20131213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93121 (or 93114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20131213300 its reverse (331213102), we get a palindrome (20462426402).

The spelling of 20131213300 in words is "twenty billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 394 550 788 985 1100 1970 2167 3940 4334 4925 8668 9850 10835 19700 21670 43340 54175 92899 108350 185798 216700 371596 464495 928990 1021889 1857980 2043778 2322475 4087556 4644950 5109445 9289900 10218890 18301103 20437780 25547225 36602206 51094450 73204412 91505515 102188900 183011030 201312133 366022060 402624266 457527575 805248532 915055150 1006560665 1830110300 2013121330 4026242660 5032803325 10065606650 20131213300