Search a number
-
+
10011310120 = 235735754679
BaseRepresentation
bin10010101001011100…
…00111100000101000
3221211201001020200201
421110232013200220
5131000343410440
64333225041544
7503042506030
oct112456074050
927751036621
1010011310120
11427813a519
121b349262b4
13c3714a456
146ad8688c0
153d8d9419a
hex254b87828

10011310120 has 32 divisors (see below), whose sum is σ = 25743369600. Its totient is φ = 3432449088.

The previous prime is 10011310093. The next prime is 10011310123. The reversal of 10011310120 is 2101311001.

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 = 10011310097 and 10011310106.

It is not an unprimeable number, because it can be changed into a prime (10011310123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17877060 + ... + 17877619.

It is an arithmetic number, because the mean of its divisors is an integer number (804480300).

Almost surely, 210011310120 is an apocalyptic number.

10011310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011310120 is an abundant number, since it is smaller than the sum of its proper divisors (15732059480).

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

10011310120 is a wasteful number, since it uses less digits than its factorization.

10011310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35754697 (or 35754693 counting only the distinct ones).

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

Adding to 10011310120 its reverse (2101311001), we get a palindrome (12112621121).

The spelling of 10011310120 in words is "ten billion, eleven million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 35754679 71509358 143018716 178773395 250282753 286037432 357546790 500565506 715093580 1001131012 1251413765 1430187160 2002262024 2502827530 5005655060 10011310120