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211324343423112 = 2332101127228818923
BaseRepresentation
bin110000000011001011001000…
…011011000001000010001000
31000201020102001211122210021100
4300003023020123001002020
5210144314223404014422
62025241021350141400
762340452142226533
oct6003131033010210
91021212054583240
10211324343423112
1161375172714657
121b8500a7051860
1390bba52a005ba
143a2821d3b1a1a
1519670701337ac
hexc032c86c1088

211324343423112 has 96 divisors (see below), whose sum is σ = 582554674990080. Its totient is φ = 69194842012800.

The previous prime is 211324343423093. The next prime is 211324343423129.

211324343423112 is a `hidden beast` number, since 2 + 11 + 32 + 43 + 43 + 423 + 112 = 666.

211324343423112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 113485918 + ... + 115333005.

It is an arithmetic number, because the mean of its divisors is an integer number (6068277864480).

Almost surely, 2211324343423112 is an apocalyptic number.

It is an amenable number.

211324343423112 is an abundant number, since it is smaller than the sum of its proper divisors (371230331566968).

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

211324343423112 is a wasteful number, since it uses less digits than its factorization.

211324343423112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228819163 (or 228819156 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 211324343423112 in words is "two hundred eleven trillion, three hundred twenty-four billion, three hundred forty-three million, four hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 127 202 254 303 381 404 508 606 762 808 909 1016 1143 1212 1524 1818 2286 2424 3048 3636 4572 7272 9144 12827 25654 38481 51308 76962 102616 115443 153924 230886 307848 461772 923544 228818923 457637846 686456769 915275692 1372913538 1830551384 2059370307 2745827076 4118740614 5491654152 8237481228 16474962456 23110711223 29060003221 46221422446 58120006442 69332133669 87180009663 92442844892 116240012884 138664267338 174360019326 184885689784 207996401007 232480025768 261540028989 277328534676 348720038652 415992802014 523080057978 554657069352 697440077304 831985604028 1046160115956 1663971208056 2092320231912 2935060325321 5870120650642 8805180975963 11740241301284 17610361951926 23480482602568 26415542927889 35220723903852 52831085855778 70441447807704 105662171711556 211324343423112