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10000230144 = 28317765949
BaseRepresentation
bin10010101000000111…
…10110011100000000
3221210221012022211020
421110003312130000
5130440024331034
64332151345440
7502546360632
oct112403663400
927727168736
1010000230144
114271961a13
121b31082280
13c34a6b158
146ac1c2a52
153d7e06249
hex2540f6700

10000230144 has 72 divisors (see below), whose sum is σ = 28180832400. Its totient is φ = 3137323008.

The previous prime is 10000230143. The next prime is 10000230181. The reversal of 10000230144 is 44103200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000230143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369919 + ... + 396030.

It is an arithmetic number, because the mean of its divisors is an integer number (391400450).

Almost surely, 210000230144 is an apocalyptic number.

It is an amenable number.

10000230144 is an abundant number, since it is smaller than the sum of its proper divisors (18180602256).

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

10000230144 is an equidigital number, since it uses as much as digits as its factorization.

10000230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765985 (or 765971 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10000230144 its reverse (44103200001), we get a palindrome (54103430145).

The spelling of 10000230144 in words is "ten billion, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 765949 1531898 2297847 3063796 4595694 6127592 9191388 12255184 13021133 18382776 24510368 26042266 36765552 39063399 49020736 52084532 73531104 78126798 98041472 104169064 147062208 156253596 196082944 208338128 294124416 312507192 416676256 588248832 625014384 833352512 1250028768 1666705024 2500057536 3333410048 5000115072 10000230144