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136242100 = 22521362421
BaseRepresentation
bin10000001111011…
…10001110110100
3100111100211000201
420013232032310
5234334221400
621304050244
73243016201
oct1007561664
9314324021
10136242100
116a9a5785
1239763984
13222c2a37
1414146ca8
15be6306a
hex81ee3b4

136242100 has 18 divisors (see below), whose sum is σ = 295645574. Its totient is φ = 54496800.

The previous prime is 136242089. The next prime is 136242109. The reversal of 136242100 is 1242631.

136242100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14227984 + 122014116 = 3772^2 + 11046^2 .

It is a super-3 number, since 3×1362421003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136242109) 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, 681111 + ... + 681310.

Almost surely, 2136242100 is an apocalyptic number.

136242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136242100 is an abundant number, since it is smaller than the sum of its proper divisors (159403474).

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

136242100 is a wasteful number, since it uses less digits than its factorization.

136242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362435 (or 1362428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 136242100 is about 11672.2791262032. The cubic root of 136242100 is about 514.5612878636.

Adding to 136242100 its reverse (1242631), we get a palindrome (137484731).

The spelling of 136242100 in words is "one hundred thirty-six million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1362421 2724842 5449684 6812105 13624210 27248420 34060525 68121050 136242100