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22112021012112 = 24321045714684489
BaseRepresentation
bin1010000011100010110110…
…01010000101111010010000
32220021212222202121101102100
411001301123022011322100
510344240404334341422
6115010042222120400
74441353331305003
oct501613312057220
986255882541370
1022112021012112
117055723447279
12259155b120100
13c45201968355
1456632849953a
152852b75be7ac
hex141c5b285e90

22112021012112 has 60 divisors (see below), whose sum is σ = 61888869757260. Its totient is φ = 7369968313344.

The previous prime is 22112021012093. The next prime is 22112021012149. The reversal of 22112021012112 is 21121012021122.

22112021012112 is a `hidden beast` number, since 221 + 1 + 20 + 210 + 1 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10475217063936 + 11636803948176 = 3236544^2 + 3411276^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5836437 + ... + 8848052.

It is an arithmetic number, because the mean of its divisors is an integer number (1031481162621).

Almost surely, 222112021012112 is an apocalyptic number.

It is an amenable number.

22112021012112 is an abundant number, since it is smaller than the sum of its proper divisors (39776848745148).

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

22112021012112 is a wasteful number, since it uses less digits than its factorization.

22112021012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14694960 (or 14694951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112021012112 its reverse (21121012021122), we get a palindrome (43233033033234).

The spelling of 22112021012112 in words is "twenty-two trillion, one hundred twelve billion, twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10457 20914 31371 41828 62742 83656 94113 125484 167312 188226 250968 376452 501936 752904 1505808 14684489 29368978 44053467 58737956 88106934 117475912 132160401 176213868 234951824 264320802 352427736 528641604 704855472 1057283208 2114566416 153555701473 307111402946 460667104419 614222805892 921334208838 1228445611784 1382001313257 1842668417676 2456891223568 2764002626514 3685336835352 5528005253028 7370673670704 11056010506056 22112021012112