Search a number
-
+
10313342112 = 253377393929
BaseRepresentation
bin10011001101011100…
…10001110010100000
3222121202101001200210
421212232101302200
5132110203421422
64423214414120
7513400650543
oct114656216240
928552331623
1010313342112
114412681637
121bb9b01340
13c848aa0c8
146dba0a85a
1540565510c
hex266b91ca0

10313342112 has 96 divisors (see below), whose sum is σ = 27848923200. Its totient is φ = 3339491328.

The previous prime is 10313342099. The next prime is 10313342159. The reversal of 10313342112 is 21124331301.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622964 + ... + 2626892.

It is an arithmetic number, because the mean of its divisors is an integer number (290092950).

Almost surely, 210313342112 is an apocalyptic number.

10313342112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924461600).

10313342112 is an abundant number, since it is smaller than the sum of its proper divisors (17535581088).

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

10313342112 is a wasteful number, since it uses less digits than its factorization.

10313342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10313342112 its reverse (21124331301), we get a palindrome (31437673413).

The spelling of 10313342112 in words is "ten billion, three hundred thirteen million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 739 888 1184 1478 1776 2217 2956 3552 3929 4434 5912 7858 8868 11787 11824 15716 17736 23574 23648 27343 31432 35472 47148 54686 62864 70944 82029 94296 109372 125728 145373 164058 188592 218744 290746 328116 377184 436119 437488 581492 656232 872238 874976 1162984 1312464 1744476 2325968 2624928 2903531 3488952 4651936 5807062 6977904 8710593 11614124 13955808 17421186 23228248 34842372 46456496 69684744 92912992 107430647 139369488 214861294 278738976 322291941 429722588 644583882 859445176 1289167764 1718890352 2578335528 3437780704 5156671056 10313342112