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21163122212112 = 24321167712585949
BaseRepresentation
bin1001100111111011011000…
…11000011011110100010000
32202221011201101002212222100
410303331230120123310100
510233214033241241422
6113002112031440400
74312661616503226
oct463755430336420
982834641085870
1021163122212112
11681a258849281
12245967a986100
13ba689b62047a
1453242cb14b16
1526a77c21e7ac
hex133f6c61bd10

21163122212112 has 60 divisors (see below), whose sum is σ = 59232425812300. Its totient is φ = 7053769384704.

The previous prime is 21163122212041. The next prime is 21163122212149. The reversal of 21163122212112 is 21121222136112.

21163122212112 is a `hidden beast` number, since 2 + 1 + 1 + 631 + 2 + 2 + 2 + 1 + 21 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12430955371536 + 8732166840576 = 3525756^2 + 2955024^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 4611487 + ... + 7974462.

Almost surely, 221163122212112 is an apocalyptic number.

It is an amenable number.

21163122212112 is an abundant number, since it is smaller than the sum of its proper divisors (38069303600188).

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

21163122212112 is a wasteful number, since it uses less digits than its factorization.

21163122212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597640 (or 12597631 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 21163122212112 its reverse (21121222136112), we get a palindrome (42284344348224).

The spelling of 21163122212112 in words is "twenty-one trillion, one hundred sixty-three billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11677 23354 35031 46708 70062 93416 105093 140124 186832 210186 280248 420372 560496 840744 1681488 12585949 25171898 37757847 50343796 75515694 100687592 113273541 151031388 201375184 226547082 302062776 453094164 604125552 906188328 1812376656 146966126473 293932252946 440898379419 587864505892 881796758838 1175729011784 1322695138257 1763593517676 2351458023568 2645390276514 3527187035352 5290780553028 7054374070704 10581561106056 21163122212112