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101242100 = 22521012421
BaseRepresentation
bin1100000100011…
…01010011110100
321001111122001102
412002031103310
5201404221400
614013545232
72336354321
oct602152364
9231448042
10101242100
115216a763
1229aa5218
1317c89c8b
14d635b48
158d4c9d5
hex608d4f4

101242100 has 18 divisors (see below), whose sum is σ = 219695574. Its totient is φ = 40496800.

The previous prime is 101242087. The next prime is 101242111. The reversal of 101242100 is 1242101.

It can be written as a sum of positive squares in 3 ways, for example, as 1162084 + 100080016 = 1078^2 + 10004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506111 + ... + 506310.

Almost surely, 2101242100 is an apocalyptic number.

101242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101242100 is an abundant number, since it is smaller than the sum of its proper divisors (118453474).

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

101242100 is a wasteful number, since it uses less digits than its factorization.

101242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012435 (or 1012428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 101242100 is about 10061.9133369355. The cubic root of 101242100 is about 466.0727535349.

Adding to 101242100 its reverse (1242101), we get a palindrome (102484201).

Subtracting from 101242100 its reverse (1242101), we obtain a palindrome (99999999).

The spelling of 101242100 in words is "one hundred one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1012421 2024842 4049684 5062105 10124210 20248420 25310525 50621050 101242100