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10412130344 = 2372112219517
BaseRepresentation
bin10011011001001110…
…01000000000101000
3222212122021000200012
421230213020000220
5132311001132334
64441104031052
7516010435100
oct115447100050
928778230605
1010412130344
114463415700
122027002488
13c9c1b8195
1470aba4200
1540e16a9ce
hex26c9c8028

10412130344 has 72 divisors (see below), whose sum is σ = 24962489370. Its totient is φ = 4056655680.

The previous prime is 10412130331. The next prime is 10412130349. The reversal of 10412130344 is 44303121401.

It can be written as a sum of positive squares in only one way, i.e., 7252566244 + 3159564100 = 85162^2 + 56210^2 .

It is not an unprimeable number, because it can be changed into a prime (10412130349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62327 + ... + 157190.

Almost surely, 210412130344 is an apocalyptic number.

10412130344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10412130344 is an abundant number, since it is smaller than the sum of its proper divisors (14550359026).

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

10412130344 is a wasteful number, since it uses less digits than its factorization.

10412130344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219559 (or 219537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10412130344 its reverse (44303121401), we get a palindrome (54715251745).

The spelling of 10412130344 in words is "ten billion, four hundred twelve million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 5929 6776 11858 23716 47432 219517 439034 878068 1536619 1756136 2414687 3073238 4829374 6146476 9658748 10756333 12292952 16902809 19317496 21512666 26561557 33805618 43025332 53123114 67611236 86050664 106246228 118319663 135222472 185930899 212492456 236639326 371861798 473278652 743723596 946557304 1301516293 1487447192 2603032586 5206065172 10412130344