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213002311320 = 23325591673087
BaseRepresentation
bin1100011001011111101…
…1010101011010011000
3202100210111102112111100
43012113323111122120
511442212042430240
6241504002431400
721250252526121
oct3062773253230
9670714375440
10213002311320
1182374285137
1235346062560
131711701cc06
14a448c8d048
155819bd0e30
hex3197ed5698

213002311320 has 48 divisors (see below), whose sum is σ = 692257512960. Its totient is φ = 56800616256.

The previous prime is 213002311303. The next prime is 213002311339. The reversal of 213002311320 is 23113200312.

213002311320 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 2 + 311 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213002311293 and 213002311302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295836184 + ... + 295836903.

It is an arithmetic number, because the mean of its divisors is an integer number (14422031520).

Almost surely, 2213002311320 is an apocalyptic number.

213002311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002311320 is an abundant number, since it is smaller than the sum of its proper divisors (479255201640).

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

213002311320 is a wasteful number, since it uses less digits than its factorization.

213002311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591673104 (or 591673097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213002311320 its reverse (23113200312), we get a palindrome (236115511632).

The spelling of 213002311320 in words is "two hundred thirteen billion, two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 591673087 1183346174 1775019261 2366692348 2958365435 3550038522 4733384696 5325057783 5916730870 7100077044 8875096305 10650115566 11833461740 14200154088 17750192610 21300231132 23666923480 26625288915 35500385220 42600462264 53250577830 71000770440 106501155660 213002311320