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10131113124 = 2233118527873
BaseRepresentation
bin10010110111101110…
…01000010010100100
3222011001110212112000
421123313020102210
5131222031104444
64353144525300
7506026016646
oct113367102244
928131425460
1010131113124
114329827270
121b68a80830
13c55c057c2
146c1732896
153e465b469
hex25bdc84a4

10131113124 has 48 divisors (see below), whose sum is σ = 28653656640. Its totient is φ = 3070033920.

The previous prime is 10131113123. The next prime is 10131113129. The reversal of 10131113124 is 42131113101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10131113097 and 10131113106.

It is not an unprimeable number, because it can be changed into a prime (10131113123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4262749 + ... + 4265124.

It is an arithmetic number, because the mean of its divisors is an integer number (596951180).

Almost surely, 210131113124 is an apocalyptic number.

It is an amenable number.

10131113124 is an abundant number, since it is smaller than the sum of its proper divisors (18522543516).

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

10131113124 is a wasteful number, since it uses less digits than its factorization.

10131113124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527897 (or 8527889 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131113124 its reverse (42131113101), we get a palindrome (52262226225).

The spelling of 10131113124 in words is "ten billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 8527873 17055746 25583619 34111492 51167238 76750857 93806603 102334476 153501714 187613206 230252571 281419809 307003428 375226412 460505142 562839618 844259427 921010284 1125679236 1688518854 2532778281 3377037708 5065556562 10131113124