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2013312312 = 23321117149533
BaseRepresentation
bin111100000000000…
…1011010100111000
312012022101212021200
41320000023110320
513110401443222
6531440134200
7100614605124
oct17000132470
95168355250
102013312312
1194350a380
12482307360
1326115877b
14151562584
15bbb41eac
hex7800b538

2013312312 has 96 divisors (see below), whose sum is σ = 6298372080. Its totient is φ = 574202880.

The previous prime is 2013312293. The next prime is 2013312341. The reversal of 2013312312 is 2132133102.

2013312312 is a `hidden beast` number, since 20 + 1 + 331 + 2 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61303 + ... + 88230.

Almost surely, 22013312312 is an apocalyptic number.

2013312312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013312312 is an abundant number, since it is smaller than the sum of its proper divisors (4285059768).

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

2013312312 is a wasteful number, since it uses less digits than its factorization.

2013312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149573 (or 149566 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2013312312 is about 44869.9488744973. The cubic root of 2013312312 is about 1262.7102808514.

Adding to 2013312312 its reverse (2132133102), we get a palindrome (4145445414).

The spelling of 2013312312 in words is "two billion, thirteen million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 149533 299066 448599 598132 897198 1196264 1345797 1644863 1794396 2542061 2691594 3289726 3588792 4934589 5084122 5383188 6579452 7626183 9869178 10168244 10766376 13158904 14803767 15252366 19738356 20336488 22878549 27962671 29607534 30504732 39476712 45757098 55925342 59215068 61009464 83888013 91514196 111850684 118430136 167776026 183028392 223701368 251664039 335552052 503328078 671104104 1006656156 2013312312