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1313137371 = 371329473529
BaseRepresentation
bin100111001000100…
…1110001011011011
310101111220021211110
41032101032023123
510142130343441
6334145031403
744353324560
oct11621161333
93344807743
101313137371
116142605a7
12307925563
1317c087880
14c6580867
157a437b16
hex4e44e2db

1313137371 has 64 divisors (see below), whose sum is σ = 2277273600. Its totient is φ = 654345216.

The previous prime is 1313137369. The next prime is 1313137379. The reversal of 1313137371 is 1737313131.

1313137371 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1313137371 - 21 = 1313137369 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1313137379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370335 + ... + 373863.

It is an arithmetic number, because the mean of its divisors is an integer number (35582400).

Almost surely, 21313137371 is an apocalyptic number.

1313137371 is a deficient number, since it is larger than the sum of its proper divisors (964136229).

1313137371 is a wasteful number, since it uses less digits than its factorization.

1313137371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628.

The product of its digits is 3969, while the sum is 30.

The square root of 1313137371 is about 36237.2373533083. The cubic root of 1313137371 is about 1095.0569866716.

The spelling of 1313137371 in words is "one billion, three hundred thirteen million, one hundred thirty-seven thousand, three hundred seventy-one".

Divisors: 1 3 7 13 21 29 39 47 87 91 141 203 273 329 377 609 611 987 1131 1363 1833 2639 3529 4089 4277 7917 9541 10587 12831 17719 24703 28623 45877 53157 74109 102341 124033 137631 165863 307023 321139 372099 497589 716387 963417 1161041 1330433 2149161 2156219 3483123 3991299 4810027 6468657 9313031 14430081 15093533 27939093 33670189 45280599 62530351 101010567 187591053 437712457 1313137371