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101380600 = 2352506903
BaseRepresentation
bin1100000101011…
…11000111111000
321001202200001001
412002233013320
5201423134400
614020534344
72340502156
oct602570770
9231680031
10101380600
1152254822
1229b513b4
1318008029
14d6703d6
158d78a6a
hex60af1f8

101380600 has 24 divisors (see below), whose sum is σ = 235710360. Its totient is φ = 40552160.

The previous prime is 101380579. The next prime is 101380603. The reversal of 101380600 is 6083101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101380603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253252 + ... + 253651.

It is an arithmetic number, because the mean of its divisors is an integer number (9821265).

Almost surely, 2101380600 is an apocalyptic number.

101380600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101380600 is an abundant number, since it is smaller than the sum of its proper divisors (134329760).

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

101380600 is a wasteful number, since it uses less digits than its factorization.

101380600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506919 (or 506910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 101380600 is about 10068.7933735875. The cubic root of 101380600 is about 466.2851871084.

The spelling of 101380600 in words is "one hundred one million, three hundred eighty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 506903 1013806 2027612 2534515 4055224 5069030 10138060 12672575 20276120 25345150 50690300 101380600