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10131210144 = 2532113197983
BaseRepresentation
bin10010110111101110…
…11111111110100000
3222011001122210121100
421123313133332200
5131222042211034
64353150554400
7506026602546
oct113367377640
928131583540
1010131210144
114329893150
121b68b08a00
13c55c3aa03
146c1759d96
153e467a099
hex25bddffa0

10131210144 has 72 divisors (see below), whose sum is σ = 31429786752. Its totient is φ = 3070062720.

The previous prime is 10131210139. The next prime is 10131210169. The reversal of 10131210144 is 44101213101.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1595824 + ... + 1602159.

It is an arithmetic number, because the mean of its divisors is an integer number (436524816).

Almost surely, 210131210144 is an apocalyptic number.

It is an amenable number.

10131210144 is an abundant number, since it is smaller than the sum of its proper divisors (21298576608).

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

10131210144 is a wasteful number, since it uses less digits than its factorization.

10131210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198010 (or 3197999 counting only the distinct ones).

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

Adding to 10131210144 its reverse (44101213101), we get a palindrome (54232423245).

The spelling of 10131210144 in words is "ten billion, one hundred thirty-one million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3197983 6395966 9593949 12791932 19187898 25583864 28781847 35177813 38375796 51167728 57563694 70355626 76751592 102335456 105533439 115127388 140711252 153503184 211066878 230254776 281422504 307006368 316600317 422133756 460509552 562845008 633200634 844267512 921019104 1125690016 1266401268 1688535024 2532802536 3377070048 5065605072 10131210144