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313120000200 = 23352774552381
BaseRepresentation
bin1001000111001110110…
…10000000100011001000
31002221012212112002112110
410203213122000203020
520112232210001300
6355502332142320
731423256041650
oct4434732004310
91087185462473
10313120000200
11110880093677
12508273079a0
13236b1027637
14112257c7360
158229416550
hex48e76808c8

313120000200 has 96 divisors (see below), whose sum is σ = 1109339444160. Its totient is φ = 71570284800.

The previous prime is 313120000199. The next prime is 313120000241. The reversal of 313120000200 is 2000021313.

It is a happy number.

313120000200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37271991 + ... + 37280390.

It is an arithmetic number, because the mean of its divisors is an integer number (11555619210).

Almost surely, 2313120000200 is an apocalyptic number.

313120000200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313120000200 is an abundant number, since it is smaller than the sum of its proper divisors (796219443960).

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

313120000200 is a wasteful number, since it uses less digits than its factorization.

313120000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74552407 (or 74552398 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 313120000200 its reverse (2000021313), we get a palindrome (315120021513).

The spelling of 313120000200 in words is "three hundred thirteen billion, one hundred twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 74552381 149104762 223657143 298209524 372761905 447314286 521866667 596419048 745523810 894628572 1043733334 1118285715 1491047620 1565600001 1789257144 1863809525 2087466668 2236571430 2609333335 2982095240 3131200002 3727619050 4174933336 4473142860 5218666670 5591428575 6262400004 7455238100 7828000005 8946285720 10437333340 11182857150 12524800008 13046666675 14910476200 15656000010 20874666680 22365714300 26093333350 31312000020 39140000025 44731428600 52186666700 62624000040 78280000050 104373333400 156560000100 313120000200