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313201130100 = 223522193747591
BaseRepresentation
bin1001000111011000011…
…11011111101001110100
31002221102112011220211120
410203230033133221310
520112413442130400
6355514351103540
731425262452165
oct4435417375164
91087375156746
10313201130100
11110911966781
125084a511bb0
13236c4a920b1
14112324a576c
1582315deca0
hex48ec3dfa74

313201130100 has 72 divisors (see below), whose sum is σ = 906255620928. Its totient is φ = 83514739200.

The previous prime is 313201130071. The next prime is 313201130107. The reversal of 313201130100 is 1031102313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313201130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201130107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6557305 + ... + 6604895.

It is an arithmetic number, because the mean of its divisors is an integer number (12586883624).

Almost surely, 2313201130100 is an apocalyptic number.

313201130100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313201130100 is an abundant number, since it is smaller than the sum of its proper divisors (593054490828).

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

313201130100 is a wasteful number, since it uses less digits than its factorization.

313201130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69545 (or 69538 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 313201130100 its reverse (1031102313), we get a palindrome (314232232413).

The spelling of 313201130100 in words is "three hundred thirteen billion, two hundred one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21937 43874 47591 65811 87748 95182 109685 131622 142773 190364 219370 237955 263244 285546 329055 438740 475910 548425 571092 658110 713865 951820 1096850 1189775 1316220 1427730 1645275 2193700 2379550 2855460 3290550 3569325 4759100 6581100 7138650 14277300 1044003767 2088007534 3132011301 4176015068 5220018835 6264022602 10440037670 12528045204 15660056505 20880075340 26100094175 31320113010 52200188350 62640226020 78300282525 104400376700 156600565050 313201130100