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10131002244 = 223211316183163
BaseRepresentation
bin10010110111101101…
…01101001110000100
3222011001021020102100
421123312231032010
5131222014032434
64353142312100
7506025045456
oct113366551604
928131236370
1010131002244
114329760a30
121b68a28630
13c55b971ac
146c17042d6
153e4638699
hex25bdad384

10131002244 has 288 divisors, whose sum is σ = 29846089728. Its totient is φ = 2869344000.

The previous prime is 10131002243. The next prime is 10131002267. The reversal of 10131002244 is 44220013101.

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

It is not an unprimeable number, because it can be changed into a prime (10131002243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62153307 + ... + 62153469.

It is an arithmetic number, because the mean of its divisors is an integer number (103632256).

Almost surely, 210131002244 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 10131002244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923044864).

10131002244 is an abundant number, since it is smaller than the sum of its proper divisors (19715087484).

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

10131002244 is a wasteful number, since it uses less digits than its factorization.

10131002244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10131002244 its reverse (44220013101), we get a palindrome (54351015345).

The spelling of 10131002244 in words is "ten billion, one hundred thirty-one million, two thousand, two hundred forty-four".