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10131224292 = 2232740203271
BaseRepresentation
bin10010110111101111…
…00011011011100100
3222011001200112000100
421123313203123210
5131222043134132
64353151144100
7506026662030
oct113367433344
928131615010
1010131224292
1143298a2842
121b68b15030
13c55c44297
146c17611c0
153e467e37c
hex25bde36e4

10131224292 has 36 divisors (see below), whose sum is σ = 29267982016. Its totient is φ = 2894635440.

The previous prime is 10131224221. The next prime is 10131224293. The reversal of 10131224292 is 29242213101.

10131224292 is a `hidden beast` number, since 101 + 312 + 242 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10131224293) 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, 20101384 + ... + 20101887.

Almost surely, 210131224292 is an apocalyptic number.

10131224292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131224292 is an abundant number, since it is smaller than the sum of its proper divisors (19136757724).

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

10131224292 is a wasteful number, since it uses less digits than its factorization.

10131224292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40203288 (or 40203283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10131224292 its reverse (29242213101), we get a palindrome (39373437393).

The spelling of 10131224292 in words is "ten billion, one hundred thirty-one million, two hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 40203271 80406542 120609813 160813084 241219626 281422897 361829439 482439252 562845794 723658878 844268691 1125691588 1447317756 1688537382 2532806073 3377074764 5065612146 10131224292