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23006184401112 = 23311751376130853
BaseRepresentation
bin1010011101100100010110…
…11100101110100011011000
310000110100222112202220112220
411032302023130232203120
511003413131201313422
6120532521210504040
74563066460562643
oct516621334564330
9100410875686486
1023006184401112
11736a960362910
1226b6904735020
13cab621164883
14597710644a5a
1529d69c4d9e5c
hex14ec8b72e8d8

23006184401112 has 128 divisors (see below), whose sum is σ = 62846428677120. Its totient is φ = 6960211200000.

The previous prime is 23006184401093. The next prime is 23006184401113. The reversal of 23006184401112 is 21110448160032.

It is a super-2 number, since 2×230061844011122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006184401113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 745655478 + ... + 745686330.

It is an arithmetic number, because the mean of its divisors is an integer number (490987724040).

Almost surely, 223006184401112 is an apocalyptic number.

23006184401112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23006184401112 is an abundant number, since it is smaller than the sum of its proper divisors (39840244276008).

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

23006184401112 is a wasteful number, since it uses less digits than its factorization.

23006184401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35385 (or 35381 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 23006184401112 in words is "twenty-three trillion, six billion, one hundred eighty-four million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 751 1502 2253 3004 3761 4506 6008 7522 8261 9012 11283 15044 16522 18024 22566 24783 30088 30853 33044 41371 45132 49566 61706 66088 82742 90264 92559 99132 123412 124113 165484 185118 198264 246824 248226 330968 339383 370236 496452 678766 740472 992904 1018149 1357532 2036298 2715064 2824511 4072596 5649022 8145192 8473533 11298044 16947066 22596088 23170603 31069621 33894132 46341206 62139242 67788264 69511809 92682412 93208863 116038133 124278484 139023618 185364824 186417726 232076266 248556968 254876633 278047236 348114399 372835452 464152532 509753266 556094472 696228798 745670904 764629899 928305064 1019506532 1276419463 1392457596 1529259798 2039013064 2552838926 2784915192 3058519596 3829258389 5105677852 6117039192 7658516778 10211355704 15317033556 30634067112 87144637883 174289275766 261433913649 348578551532 522867827298 697157103064 958591016713 1045735654596 1917182033426 2091471309192 2875773050139 3834364066852 5751546100278 7668728133704 11503092200556 23006184401112