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313132023200 = 25521920600791
BaseRepresentation
bin1001000111010000001…
…11110111110110100000
31002221020201010220222202
410203220013313312200
520112243244220300
6355503441552332
731423463165303
oct4435007676640
91087221126882
10313132023200
11110886955737
125082b3456a8
13236b3676c39
1411227236b3a
15822a4ddad5
hex48e81f7da0

313132023200 has 72 divisors (see below), whose sum is σ = 804666935520. Its totient is φ = 118660550400.

The previous prime is 313132023187. The next prime is 313132023251. The reversal of 313132023200 is 2320231313.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10285196 + ... + 10315595.

It is an arithmetic number, because the mean of its divisors is an integer number (11175929660).

Almost surely, 2313132023200 is an apocalyptic number.

It is an amenable number.

313132023200 is an abundant number, since it is smaller than the sum of its proper divisors (491534912320).

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

313132023200 is a wasteful number, since it uses less digits than its factorization.

313132023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20600830 (or 20600817 counting only the distinct ones).

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

Adding to 313132023200 its reverse (2320231313), we get a palindrome (315452254513).

The spelling of 313132023200 in words is "three hundred thirteen billion, one hundred thirty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 20600791 41201582 82403164 103003955 164806328 206007910 329612656 391415029 412015820 515019775 659225312 782830058 824031640 1030039550 1565660116 1648063280 1957075145 2060079100 3131320232 3296126560 3914150290 4120158200 6262640464 7828300580 8240316400 9785375725 12525280928 15656601160 16480632800 19570751450 31313202320 39141502900 62626404640 78283005800 156566011600 313132023200