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10212332112 = 2432371916729
BaseRepresentation
bin10011000001011001…
…11101001001010000
3222100201022020000200
421200230331021100
5131403324111422
64405205415200
7511033251003
oct114054751120
928321266020
1010212332112
1143706602a4
121b9010a500
13c699a1988
146cc43553a
153eb8512ac
hex260b3d250

10212332112 has 60 divisors (see below), whose sum is σ = 29352803220. Its totient is φ = 3312105984.

The previous prime is 10212332093. The next prime is 10212332113. The reversal of 10212332112 is 21123321201.

10212332112 is a `hidden beast` number, since 10 + 212 + 332 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5610609216 + 4601722896 = 74904^2 + 67836^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212332113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953037 + ... + 963692.

It is an arithmetic number, because the mean of its divisors is an integer number (489213387).

Almost surely, 210212332112 is an apocalyptic number.

10212332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212332112 is an abundant number, since it is smaller than the sum of its proper divisors (19140471108).

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

10212332112 is a wasteful number, since it uses less digits than its factorization.

10212332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916780 (or 1916771 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10212332112 its reverse (21123321201), we get a palindrome (31335653313).

The spelling of 10212332112 in words is "ten billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 1916729 3833458 5750187 7666916 11500374 15333832 17250561 23000748 30667664 34501122 46001496 69002244 70918973 92002992 138004488 141837946 212756919 276008976 283675892 425513838 567351784 638270757 851027676 1134703568 1276541514 1702055352 2553083028 3404110704 5106166056 10212332112