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10131112224 = 253259958727
BaseRepresentation
bin10010110111101110…
…01000000100100000
3222011001110211021200
421123313020010200
5131222031042344
64353144521200
7506026014222
oct113367100440
928131424250
1010131112224
114329826622
121b68a80200
13c55c0527c
146c1732412
153e465b069
hex25bdc8120

10131112224 has 72 divisors (see below), whose sum is σ = 28858939200. Its totient is φ = 3371342208.

The previous prime is 10131112183. The next prime is 10131112231. The reversal of 10131112224 is 42221113101.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10131112197 and 10131112206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143149 + ... + 201875.

It is an arithmetic number, because the mean of its divisors is an integer number (400818600).

Almost surely, 210131112224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429469600).

10131112224 is an abundant number, since it is smaller than the sum of its proper divisors (18727826976).

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

10131112224 is a wasteful number, since it uses less digits than its factorization.

10131112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59342 (or 59331 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131112224 its reverse (42221113101), we get a palindrome (52352225325).

The spelling of 10131112224 in words is "ten billion, one hundred thirty-one million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 599 1198 1797 2396 3594 4792 5391 7188 9584 10782 14376 19168 21564 28752 43128 57504 58727 86256 117454 172512 176181 234908 352362 469816 528543 704724 939632 1057086 1409448 1879264 2114172 2818896 4228344 5637792 8456688 16913376 35177473 70354946 105532419 140709892 211064838 281419784 316597257 422129676 562839568 633194514 844259352 1125679136 1266389028 1688518704 2532778056 3377037408 5065556112 10131112224