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1012114124112 = 243721333101587
BaseRepresentation
bin11101011101001101011…
…00111110110101010000
310120202102222021200200110
432232212230332311100
5113040302203432422
62052543034121320
7133060063052100
oct16564654766520
93522388250613
101012114124112
11360265045713
121441a2b80240
1374598c7a910
1436db5291200
151b4da02b60c
hexeba6b3ed50

1012114124112 has 120 divisors (see below), whose sum is σ = 3275468335776. Its totient is φ = 266931189504.

The previous prime is 1012114124101. The next prime is 1012114124143. The reversal of 1012114124112 is 2114214112101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16520218 + ... + 16581369.

Almost surely, 21012114124112 is an apocalyptic number.

1012114124112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012114124112 is an abundant number, since it is smaller than the sum of its proper divisors (2263354211664).

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

1012114124112 is a wasteful number, since it uses less digits than its factorization.

1012114124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33101625 (or 33101612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1012114124112 its reverse (2114214112101), we get a palindrome (3126328236213).

The spelling of 1012114124112 in words is "one trillion, twelve billion, one hundred fourteen million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 33101587 66203174 99304761 132406348 198609522 231711109 264812696 397219044 430320631 463422218 529625392 695133327 794438088 860641262 926844436 1290961893 1390266654 1588876176 1621977763 1721282524 1853688872 2581923786 2780533308 3012244417 3243955526 3442565048 3707377744 4865933289 5163847572 5561066616 6024488834 6487911052 6885130096 9036733251 9731866578 10327695144 11122133232 12048977668 12975822104 18073466502 19463733156 20655390288 21085710919 24097955336 25951644208 36146933004 38927466312 42171421838 48195910672 63257132757 72293866008 77854932624 84342843676 126514265514 144587732016 168685687352 253028531028 337371374704 506057062056 1012114124112