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101256200 = 2352506281
BaseRepresentation
bin1100000100100…
…00110000001000
321001112100101122
412002100300020
5201410144300
614014134412
72336443403
oct602206010
9231470348
10101256200
115217a311
1229ab1408
1317c93516
14d63ad3a
158d51c85
hex6090c08

101256200 has 24 divisors (see below), whose sum is σ = 235421130. Its totient is φ = 40502400.

The previous prime is 101256193. The next prime is 101256203. The reversal of 101256200 is 2652101.

It can be written as a sum of positive squares in 3 ways, for example, as 96157636 + 5098564 = 9806^2 + 2258^2 .

It is not an unprimeable number, because it can be changed into a prime (101256203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252941 + ... + 253340.

Almost surely, 2101256200 is an apocalyptic number.

101256200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101256200 is an abundant number, since it is smaller than the sum of its proper divisors (134164930).

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

101256200 is a wasteful number, since it uses less digits than its factorization.

101256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506297 (or 506288 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101256200 is about 10062.6139745098. The cubic root of 101256200 is about 466.0943892009.

The spelling of 101256200 in words is "one hundred one million, two hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 506281 1012562 2025124 2531405 4050248 5062810 10125620 12657025 20251240 25314050 50628100 101256200