Search a number
-
+
10110013120 = 26561517931
BaseRepresentation
bin10010110101001101…
…01000111011000000
3222002120202212202101
421122212220323000
5131201130404440
64351112400144
7505351456624
oct113246507300
928076685671
1010110013120
114318925549
121b619a6054
13c517287ac
146bc9dd184
153e288e69a
hex25a9a8ec0

10110013120 has 56 divisors (see below), whose sum is σ = 24469179408. Its totient is φ = 3977702400.

The previous prime is 10110013103. The next prime is 10110013157. The reversal of 10110013120 is 2131001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10110013097 and 10110013106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239446 + ... + 278485.

Almost surely, 210110013120 is an apocalyptic number.

10110013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110013120 is an abundant number, since it is smaller than the sum of its proper divisors (14359166288).

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

10110013120 is an equidigital number, since it uses as much as digits as its factorization.

10110013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518009 (or 517999 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10110013120 its reverse (2131001101), we get a palindrome (12241014221).

The spelling of 10110013120 in words is "ten billion, one hundred ten million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 19520 517931 1035862 2071724 2589655 4143448 5179310 8286896 10358620 16573792 20717240 31593791 33147584 41434480 63187582 82868960 126375164 157968955 165737920 252750328 315937910 505500656 631875820 1011001312 1263751640 2022002624 2527503280 5055006560 10110013120