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1331000313 = 37315738711
BaseRepresentation
bin100111101010101…
…0111001111111001
310102202111211011220
41033111113033321
510211214002223
6340023542253
744661213246
oct11725271771
93382454156
101331000313
11623351265
123118ba989
131829a0366
14c8ab05cd
157bcb56e3
hex4f5573f9

1331000313 has 16 divisors (see below), whose sum is σ = 1810482816. Its totient is φ = 869581440.

The previous prime is 1331000311. The next prime is 1331000339. The reversal of 1331000313 is 3130001331.

It is not a de Polignac number, because 1331000313 - 21 = 1331000311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331000292 and 1331000301.

It is not an unprimeable number, because it can be changed into a prime (1331000311) 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, 15028 + ... + 53738.

It is an arithmetic number, because the mean of its divisors is an integer number (113155176).

Almost surely, 21331000313 is an apocalyptic number.

It is an amenable number.

1331000313 is a deficient number, since it is larger than the sum of its proper divisors (479482503).

1331000313 is a wasteful number, since it uses less digits than its factorization.

1331000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38944.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1331000313 is about 36482.8769835933. The cubic root of 1331000313 is about 1100.0000862259. Note that the first 4 decimals are identical.

Adding to 1331000313 its reverse (3130001331), we get a palindrome (4461001644).

The spelling of 1331000313 in words is "one billion, three hundred thirty-one million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 73 157 219 471 11461 34383 38711 116133 2825903 6077627 8477709 18232881 443666771 1331000313