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313040410100 = 225211299813179
BaseRepresentation
bin1001000111000101010…
…10011001010111110100
31002221000022202111102222
410203202222121113310
520112101321110400
6355450410221512
731421301403565
oct4434252312764
91087008674388
10313040410100
1111083a172430
1250804724898
132369a6ab9c2
1411218dca16c
158222444185
hex48e2a995f4

313040410100 has 72 divisors (see below), whose sum is σ = 766605621600. Its totient is φ = 109907593600.

The previous prime is 313040410069. The next prime is 313040410103. The reversal of 313040410100 is 1014040313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313040410103) 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 23 ways as a sum of consecutive naturals, for example, 4874690 + ... + 4938489.

It is an arithmetic number, because the mean of its divisors is an integer number (10647300300).

Almost surely, 2313040410100 is an apocalyptic number.

It is an amenable number.

313040410100 is an abundant number, since it is smaller than the sum of its proper divisors (453565211500).

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

313040410100 is a wasteful number, since it uses less digits than its factorization.

313040410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813233 (or 9813226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 313040410100 its reverse (1014040313), we get a palindrome (314054450413).

The spelling of 313040410100 in words is "three hundred thirteen billion, forty million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 9813179 19626358 39252716 49065895 98131790 107944969 196263580 215889938 245329475 284582191 431779876 490658950 539724845 569164382 981317900 1079449690 1138328764 1422910955 2158899380 2698624225 2845821910 3130404101 5397248450 5691643820 6260808202 7114554775 10794496900 12521616404 14229109550 15652020505 28458219100 31304041010 62608082020 78260102525 156520205050 313040410100