Search a number
-
+
10120000000 = 29571123
BaseRepresentation
bin10010110110011001…
…01111001000000000
3222010021120021011211
421123030233020000
5131211210000000
64352110415504
7505532403115
oct113314571000
928107507154
1010120000000
114323526870
121b65201594
13c538143a6
146c007c90c
153e36b37ba
hex25b32f200

10120000000 has 320 divisors, whose sum is σ = 28771801344. Its totient is φ = 3520000000.

The previous prime is 10119999983. The next prime is 10120000019. The reversal of 10120000000 is 2101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439999989 + ... + 440000011.

Almost surely, 210120000000 is an apocalyptic number.

10120000000 is a gapful number since it is divisible by the number (10) 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 10120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385900672).

10120000000 is an abundant number, since it is smaller than the sum of its proper divisors (18651801344).

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

10120000000 is an frugal number, since it uses more digits than its factorization.

10120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 10120000000 its reverse (2101), we get a palindrome (10120002101).

The spelling of 10120000000 in words is "ten billion, one hundred twenty million", and thus it is an aban number.