Search a number
-
+
10301900700 = 223527131919861
BaseRepresentation
bin10011001100000101…
…01000011110011100
3222120221211210000210
421212002220132130
5132044241310300
64422125252420
7513201465630
oct114602503634
928527753023
1010301900700
114407177523
121bb6104110
13c82402440
146da2acdc0
15404645050
hex2660a879c

10301900700 has 288 divisors, whose sum is σ = 38618083840. Its totient is φ = 2059084800.

The previous prime is 10301900689. The next prime is 10301900701. The reversal of 10301900700 is 700910301.

It is a super-2 number, since 2×103019007002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301900701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508770 + ... + 528630.

Almost surely, 210301900700 is an apocalyptic number.

10301900700 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 10301900700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309041920).

10301900700 is an abundant number, since it is smaller than the sum of its proper divisors (28316183140).

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

10301900700 is a wasteful number, since it uses less digits than its factorization.

10301900700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19917 (or 19910 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The spelling of 10301900700 in words is "ten billion, three hundred one million, nine hundred thousand, seven hundred".