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1036139112 = 233214390821
BaseRepresentation
bin111101110000100…
…011101001101000
32200012200022122200
4331300203221220
54110222422422
6250452020200
734451015511
oct7560435150
92605608580
101036139112
11491967718
1224b001660
13136881588
149b877a08
1560e6e2ac
hex3dc23a68

1036139112 has 24 divisors (see below), whose sum is σ = 2806210290. Its totient is φ = 345379680.

The previous prime is 1036139099. The next prime is 1036139113. The reversal of 1036139112 is 2119316301.

1036139112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 881733636 + 154405476 = 29694^2 + 12426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10361391123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1036139113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7195339 + ... + 7195482.

Almost surely, 21036139112 is an apocalyptic number.

1036139112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1036139112 is an abundant number, since it is smaller than the sum of its proper divisors (1770071178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1036139112 is a wasteful number, since it uses less digits than its factorization.

1036139112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390833 (or 14390826 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1036139112 is about 32189.1148060956. The cubic root of 1036139112 is about 1011.9041007514.

The spelling of 1036139112 in words is "one billion, thirty-six million, one hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14390821 28781642 43172463 57563284 86344926 115126568 129517389 172689852 259034778 345379704 518069556 1036139112