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1338056031 = 313833531171
BaseRepresentation
bin100111111000001…
…0001110101011111
310110020210021210210
41033300101311133
510220020243111
6340435103503
745105200664
oct11760216537
93406707723
101338056031
11627330334
12314141b93
131842a0a40
14c99c9a6b
157c70b0a6
hex4fc11d5f

1338056031 has 32 divisors (see below), whose sum is σ = 1951633152. Its totient is φ = 810501120.

The previous prime is 1338056023. The next prime is 1338056059. The reversal of 1338056031 is 1306508331.

It is not a de Polignac number, because 1338056031 - 23 = 1338056023 is a prime.

It is a super-3 number, since 3×13380560313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1338056031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338056011) 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, 1142076 + ... + 1143246.

It is an arithmetic number, because the mean of its divisors is an integer number (60988536).

Almost surely, 21338056031 is an apocalyptic number.

1338056031 is a deficient number, since it is larger than the sum of its proper divisors (613577121).

1338056031 is a wasteful number, since it uses less digits than its factorization.

1338056031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1338056031 is about 36579.4482052422. The cubic root of 1338056031 is about 1101.9403853663.

The spelling of 1338056031 in words is "one billion, three hundred thirty-eight million, fifty-six thousand, thirty-one".

Divisors: 1 3 13 39 83 249 353 1059 1079 1171 3237 3513 4589 13767 15223 29299 45669 87897 97193 291579 380887 413363 1142661 1240089 1263509 3790527 5373719 16121157 34309129 102927387 446018677 1338056031