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100130000 = 2454171931
BaseRepresentation
bin1011111011111…
…01110011010000
320222102010112112
411331331303100
5201113130000
613534044452
72324043125
oct575756320
9228363475
10100130000
1151580173
1229649728
131798aa29
14d42674c
158bcd235
hex5f7dcd0

100130000 has 200 divisors, whose sum is σ = 278910720. Its totient is φ = 34560000.

The previous prime is 100129993. The next prime is 100130003. The reversal of 100130000 is 31001.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3229985 + ... + 3230015.

Almost surely, 2100130000 is an apocalyptic number.

100130000 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 100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139455360).

100130000 is an abundant number, since it is smaller than the sum of its proper divisors (178780720).

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

100130000 is a wasteful number, since it uses less digits than its factorization.

100130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

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

The square root of 100130000 is about 10006.4978888720. The cubic root of 100130000 is about 464.3599317816.

Adding to 100130000 its reverse (31001), we get a palindrome (100161001).

The spelling of 100130000 in words is "one hundred million, one hundred thirty thousand".