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1012155012 = 22321111322619
BaseRepresentation
bin111100010101000…
…100001010000100
32121112112210122200
4330111010022010
54033102430022
6244233554500
734040114151
oct7425041204
92545483580
101012155012
1147a376050
12242b75a30
131319048bb
14985d3228
155dcd2bac
hex3c544284

1012155012 has 72 divisors (see below), whose sum is σ = 2815918560. Its totient is φ = 303985920.

The previous prime is 1012155007. The next prime is 1012155019. The reversal of 1012155012 is 2105512101.

1012155012 is a `hidden beast` number, since 101 + 2 + 1 + 550 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1012155019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33439 + ... + 56057.

It is an arithmetic number, because the mean of its divisors is an integer number (39109980).

Almost surely, 21012155012 is an apocalyptic number.

1012155012 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 1012155012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407959280).

1012155012 is an abundant number, since it is smaller than the sum of its proper divisors (1803763548).

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

1012155012 is a wasteful number, since it uses less digits than its factorization.

1012155012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1012155012 is about 31814.3837281190. The cubic root of 1012155012 is about 1004.0353645951.

Adding to 1012155012 its reverse (2105512101), we get a palindrome (3117667113).

The spelling of 1012155012 in words is "one billion, twelve million, one hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 3729 4068 4972 7458 11187 14916 22374 22619 44748 45238 67857 90476 135714 203571 248809 271428 407142 497618 746427 814284 995236 1492854 2239281 2555947 2985708 4478562 5111894 7667841 8957124 10223788 15335682 23003523 28115417 30671364 46007046 56230834 84346251 92014092 112461668 168692502 253038753 337385004 506077506 1012155012