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10413034112 = 271343145531
BaseRepresentation
bin10011011001010101…
…00100101010000000
3222212200221221102002
421230222210222000
5132311214042422
64441135243132
7516021221015
oct115452445200
928780857362
1010413034112
114463982718
1220273794a8
13c9c443660
1470ad5b70c
1540e298692
hex26caa4a80

10413034112 has 64 divisors (see below), whose sum is σ = 22860166560. Its totient is φ = 4694215680.

The previous prime is 10413034091. The next prime is 10413034127. The reversal of 10413034112 is 21143031401.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 1214 + ... + 144317.

Almost surely, 210413034112 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 10413034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430083280).

10413034112 is an abundant number, since it is smaller than the sum of its proper divisors (12447132448).

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

10413034112 is a wasteful number, since it uses less digits than its factorization.

10413034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145601 (or 145589 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10413034112 its reverse (21143031401), we get a palindrome (31556065513).

The spelling of 10413034112 in words is "ten billion, four hundred thirteen million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8944 17888 35776 71552 145531 291062 582124 1164248 1891903 2328496 3783806 4656992 6257833 7567612 9313984 12515666 15135224 18627968 25031332 30270448 50062664 60540896 81351829 100125328 121081792 162703658 200250656 242163584 325407316 400501312 650814632 801002624 1301629264 2603258528 5206517056 10413034112