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10133000144 = 241737253677
BaseRepresentation
bin10010110111111100…
…10100111111010000
3222011012000202000122
421123332110333100
5131223022001034
64353253205412
7506051036321
oct113376247720
928135022018
1010133000144
11432a8a5a93
121b69630868
13c56416697
146c1aa4448
153e48d062e
hex25bf94fd0

10133000144 has 20 divisors (see below), whose sum is σ = 20787552324. Its totient is φ = 4768470528.

The previous prime is 10133000131. The next prime is 10133000149. The reversal of 10133000144 is 44100033101.

It can be written as a sum of positive squares in 2 ways, for example, as 8204736400 + 1928263744 = 90580^2 + 43912^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133000149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18626567 + ... + 18627110.

Almost surely, 210133000144 is an apocalyptic number.

It is an amenable number.

10133000144 is an abundant number, since it is smaller than the sum of its proper divisors (10654552180).

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

10133000144 is a wasteful number, since it uses less digits than its factorization.

10133000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37253702 (or 37253696 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10133000144 its reverse (44100033101), we get a palindrome (54233033245).

The spelling of 10133000144 in words is "ten billion, one hundred thirty-three million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 136 272 37253677 74507354 149014708 298029416 596058832 633312509 1266625018 2533250036 5066500072 10133000144