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313001023120 = 2453912512789
BaseRepresentation
bin1001000111000000101…
…00001001011010010000
31002220220120122102122221
410203200110021122100
520112011230214440
6355442442110424
731420312541002
oct4434024113220
91086816572587
10313001023120
11110819a10405
12507b34ab414
132369249b1b6
1411213a96372
15821dc63d4a
hex48e0509690

313001023120 has 20 divisors (see below), whose sum is σ = 727727378940. Its totient is φ = 125200409216.

The previous prime is 313001023063. The next prime is 313001023163. The reversal of 313001023120 is 21320100313.

It can be written as a sum of positive squares in 2 ways, for example, as 120114923776 + 192886099344 = 346576^2 + 439188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313001023094 and 313001023103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1956256315 + ... + 1956256474.

It is an arithmetic number, because the mean of its divisors is an integer number (36386368947).

Almost surely, 2313001023120 is an apocalyptic number.

It is an amenable number.

313001023120 is an abundant number, since it is smaller than the sum of its proper divisors (414726355820).

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

313001023120 is a wasteful number, since it uses less digits than its factorization.

313001023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912512802 (or 3912512796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313001023120 its reverse (21320100313), we get a palindrome (334321123433).

The spelling of 313001023120 in words is "three hundred thirteen billion, one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3912512789 7825025578 15650051156 19562563945 31300102312 39125127890 62600204624 78250255780 156500511560 313001023120