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10100300000 = 2555747307
BaseRepresentation
bin10010110100000011…
…00101100011100000
3222001220111101212012
421122001211203200
5131141134100000
64350124252052
7505203063530
oct113201454340
928056441765
1010100300000
1143133a097a
121b5a6a1028
13c4c70769b
146bb5d14c0
153e1ac1735
hex25a0658e0

10100300000 has 288 divisors, whose sum is σ = 29104137216. Its totient is φ = 3378240000.

The previous prime is 10100299987. The next prime is 10100300011. The reversal of 10100300000 is 300101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32899847 + ... + 32900153.

It is an arithmetic number, because the mean of its divisors is an integer number (101056032).

Almost surely, 210100300000 is an apocalyptic number.

10100300000 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 10100300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552068608).

10100300000 is an abundant number, since it is smaller than the sum of its proper divisors (19003837216).

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

10100300000 is an frugal number, since it uses more digits than its factorization.

10100300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 10100300000 its reverse (300101), we get a palindrome (10100600101).

The spelling of 10100300000 in words is "ten billion, one hundred million, three hundred thousand".