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1313020071 = 331119132311
BaseRepresentation
bin100111001000011…
…0001100010100111
310101111200022221000
41032100301202213
510142113120241
6334142324343
744352325566
oct11620614247
93344608830
101313020071
11614190460
123078896b3
1317c04636c
14c654dbdd
157a412eb6
hex4e4318a7

1313020071 has 32 divisors (see below), whose sum is σ = 2124080640. Its totient is φ = 795009600.

The previous prime is 1313020031. The next prime is 1313020127. The reversal of 1313020071 is 1700203131.

It is not a de Polignac number, because 1313020071 - 211 = 1313018023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313020031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567006 + ... + 569316.

It is an arithmetic number, because the mean of its divisors is an integer number (66377520).

Almost surely, 21313020071 is an apocalyptic number.

1313020071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313020071 is a deficient number, since it is larger than the sum of its proper divisors (811060569).

1313020071 is a wasteful number, since it uses less digits than its factorization.

1313020071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1313020071 is about 36235.6188162973. The cubic root of 1313020071 is about 1095.0243792658.

The spelling of 1313020071 in words is "one billion, three hundred thirteen million, twenty thousand, seventy-one".

Divisors: 1 3 9 11 27 33 99 297 1913 2311 5739 6933 17217 20799 21043 25421 51651 62397 63129 76263 189387 228789 568161 686367 4420943 13262829 39788487 48630373 119365461 145891119 437673357 1313020071