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1013904012 = 223112798839
BaseRepresentation
bin111100011011101…
…111001010001100
32121122211122211110
4330123233022030
54034024412022
6244335252020
734061020242
oct7433571214
92548748743
101013904012
11480360100
1224367a010
13132097a04
149892a792
155e02b00c
hex3c6ef28c

1013904012 has 72 divisors (see below), whose sum is σ = 2633612800. Its totient is φ = 303320160.

The previous prime is 1013903999. The next prime is 1013904083. The reversal of 1013904012 is 2104093101.

It is a super-2 number, since 2×10139040122 = 2056002691099392288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013904012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110289 + ... + 119127.

Almost surely, 21013904012 is an apocalyptic number.

1013904012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013904012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316806400).

1013904012 is an abundant number, since it is smaller than the sum of its proper divisors (1619708788).

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

1013904012 is a wasteful number, since it uses less digits than its factorization.

1013904012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1013904012 is about 31841.8594306300. The cubic root of 1013904012 is about 1004.6133548945.

Adding to 1013904012 its reverse (2104093101), we get a palindrome (3117997113).

The spelling of 1013904012 in words is "one billion, thirteen million, nine hundred four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 121 132 158 237 242 316 363 474 484 726 869 948 1452 1738 2607 3476 5214 8839 9559 10428 17678 19118 26517 28677 35356 38236 53034 57354 97229 106068 114708 194458 291687 388916 583374 698281 1069519 1166748 1396562 2094843 2139038 2793124 3208557 4189686 4278076 6417114 7681091 8379372 12834228 15362182 23043273 30724364 46086546 84492001 92173092 168984002 253476003 337968004 506952006 1013904012