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313001010320 = 2455373820993
BaseRepresentation
bin1001000111000000101…
…00000110010010010000
31002220220120121210002212
410203200110012102100
520112011224312240
6355442441531252
731420312455455
oct4434024062220
91086816553085
10313001010320
11110819a01829
12507b34a3b28
132369249541b
1411213a9182c
15821dc60165
hex48e0506490

313001010320 has 40 divisors (see below), whose sum is σ = 741458063736. Its totient is φ = 122838130688.

The previous prime is 313001010299. The next prime is 313001010347. The reversal of 313001010320 is 23010100313.

It can be written as a sum of positive squares in 4 ways, for example, as 65757370624 + 247243639696 = 256432^2 + 497236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3130010103202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313001010295 and 313001010304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36906257 + ... + 36914736.

Almost surely, 2313001010320 is an apocalyptic number.

It is an amenable number.

313001010320 is an abundant number, since it is smaller than the sum of its proper divisors (428457053416).

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

313001010320 is a wasteful number, since it uses less digits than its factorization.

313001010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73821059 (or 73821053 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313001010320 its reverse (23010100313), we get a palindrome (336011110633).

The spelling of 313001010320 in words is "three hundred thirteen billion, one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 73820993 147641986 295283972 369104965 590567944 738209930 1181135888 1476419860 2952839720 3912512629 5905679440 7825025258 15650050516 19562563145 31300101032 39125126290 62600202064 78250252580 156500505160 313001010320