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3813313127 = 1333115581
BaseRepresentation
bin1110001101001010…
…1000101001100111
3100211202102101012112
43203102220221213
530302202010002
61430220311235
7163332424661
oct34322505147
910752371175
103813313127
111687574658
128a50a251b
1348a049000
14282639531
15174b9a852
hexe34a8a67

3813313127 has 16 divisors (see below), whose sum is σ = 4144969920. Its totient is φ = 3508034400.

The previous prime is 3813313123. The next prime is 3813313139. The reversal of 3813313127 is 7213133183.

3813313127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3813313127 - 22 = 3813313123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3813313093 and 3813313102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813313121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680477 + ... + 686057.

It is an arithmetic number, because the mean of its divisors is an integer number (259060620).

Almost surely, 23813313127 is an apocalyptic number.

3813313127 is a deficient number, since it is larger than the sum of its proper divisors (331656793).

3813313127 is an equidigital number, since it uses as much as digits as its factorization.

3813313127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5905 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 3813313127 is about 61752.0293350753. The cubic root of 3813313127 is about 1562.3109960783.

The spelling of 3813313127 in words is "three billion, eight hundred thirteen million, three hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 13 169 311 2197 4043 5581 52559 72553 683267 943189 1735691 12261457 22563983 293331779 3813313127