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213356653312 = 2811101750157
BaseRepresentation
bin1100011010110100001…
…1000010101100000000
3202101201012011222022211
43012231003002230000
511443423300401222
6242003101311504
721262114426135
oct3065503025400
9671635158284
10213356653312
11825362a5560
1235424865594
131717256652a
14a47dd6a58c
15583ad76277
hex31ad0c2b00

213356653312 has 72 divisors (see below), whose sum is σ = 469196823312. Its totient is φ = 96019968000.

The previous prime is 213356653229. The next prime is 213356653327.

213356653312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90663 + ... + 659494.

It is an arithmetic number, because the mean of its divisors is an integer number (6516622546).

Almost surely, 2213356653312 is an apocalyptic number.

213356653312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213356653312 is an abundant number, since it is smaller than the sum of its proper divisors (255840170000).

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

213356653312 is a wasteful number, since it uses less digits than its factorization.

213356653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750285 (or 750271 counting only the distinct ones).

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 213356 and 653312, that added together give a palindrome (866668).

The spelling of 213356653312 in words is "two hundred thirteen billion, three hundred fifty-six million, six hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 704 808 1111 1408 1616 2222 2816 3232 4444 6464 8888 12928 17776 25856 35552 71104 142208 284416 750157 1500314 3000628 6001256 8251727 12002512 16503454 24005024 33006908 48010048 66013816 75765857 96020096 132027632 151531714 192040192 264055264 303063428 528110528 606126856 833424427 1056221056 1212253712 1666848854 2112442112 2424507424 3333697708 4849014848 6667395416 9698029696 13334790832 19396059392 26669581664 53339163328 106678326656 213356653312