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1012113696 = 253113892
BaseRepresentation
bin111100010100111…
…010000100100000
32121112110200222110
4330110322010200
54033100114241
6244233035320
734036552536
oct7424720440
92545420873
101012113696
1147a348000
12242b55b40
131318bbb59
14985c2156
155dcc5816
hex3c53a120

1012113696 has 144 divisors (see below), whose sum is σ = 2955482208. Its totient is φ = 303255040.

The previous prime is 1012113677. The next prime is 1012113721. The reversal of 1012113696 is 6963112101.

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, 11372020 + ... + 11372108.

It is an arithmetic number, because the mean of its divisors is an integer number (20524182).

Almost surely, 21012113696 is an apocalyptic number.

1012113696 is a gapful number since it is divisible by the number (16) 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 1012113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477741104).

1012113696 is an abundant number, since it is smaller than the sum of its proper divisors (1943368512).

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

1012113696 is an frugal number, since it uses more digits than its factorization.

1012113696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1012113696 is about 31813.7343925544. The cubic root of 1012113696 is about 1004.0217028901.

Adding to 1012113696 its reverse (6963112101), we get a palindrome (7975225797).

The spelling of 1012113696 in words is "one billion, twelve million, one hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 121 132 176 178 242 264 267 352 356 363 484 528 534 712 726 968 979 1056 1068 1331 1424 1452 1936 1958 2136 2662 2848 2904 2937 3872 3916 3993 4272 5324 5808 5874 7832 7921 7986 8544 10648 10769 11616 11748 15664 15842 15972 21296 21538 23496 23763 31328 31684 31944 32307 42592 43076 46992 47526 63368 63888 64614 86152 87131 93984 95052 118459 126736 127776 129228 172304 174262 190104 236918 253472 258456 261393 344608 348524 355377 380208 473836 516912 522786 697048 710754 760416 947672 958441 1033824 1045572 1394096 1421508 1895344 1916882 2091144 2788192 2843016 2875323 3790688 3833764 4182288 5686032 5750646 7667528 8364576 10542851 11372064 11501292 15335056 21085702 23002584 30670112 31628553 42171404 46005168 63257106 84342808 92010336 126514212 168685616 253028424 337371232 506056848 1012113696