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213331431360 = 2635222220241
BaseRepresentation
bin1100011010101110001…
…0110100111111000000
3202101122102201120022110
43012223202310333000
511443400321300420
6242000400535320
721261360150555
oct3065342647700
9671572646273
10213331431360
1182523038973
1235418321540
131716a2752b8
14a47a882a2c
155838a42ee0
hex31ab8b4fc0

213331431360 has 56 divisors (see below), whose sum is σ = 677327297616. Its totient is φ = 56888381440.

The previous prime is 213331431331. The next prime is 213331431367. The reversal of 213331431360 is 63134133312.

213331431360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2133314313602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213331431367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111109161 + ... + 111111080.

Almost surely, 2213331431360 is an apocalyptic number.

213331431360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331431360 is an abundant number, since it is smaller than the sum of its proper divisors (463995866256).

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

213331431360 is a wasteful number, since it uses less digits than its factorization.

213331431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222220261 (or 222220251 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 213331431360 its reverse (63134133312), we get a palindrome (276465564672).

The spelling of 213331431360 in words is "two hundred thirteen billion, three hundred thirty-one million, four hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 222220241 444440482 666660723 888880964 1111101205 1333321446 1777761928 2222202410 2666642892 3333303615 3555523856 4444404820 5333285784 6666607230 7111047712 8888809640 10666571568 13333214460 14222095424 17777619280 21333143136 26666428920 35555238560 42666286272 53332857840 71110477120 106665715680 213331431360