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136030100 = 22526779257
BaseRepresentation
bin10000001101110…
…10011110010100
3100110222001012212
420012322132110
5234310430400
621255332552
73241144133
oct1006723624
9313861185
10136030100
116a870478
1239681158
132224a3ab
14140cd91a
15be20335
hex81ba794

136030100 has 72 divisors (see below), whose sum is σ = 304563840. Its totient is φ = 52715520.

The previous prime is 136030099. The next prime is 136030123. The reversal of 136030100 is 1030631.

136030100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529172 + ... + 529428.

Almost surely, 2136030100 is an apocalyptic number.

136030100 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 136030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152281920).

136030100 is an abundant number, since it is smaller than the sum of its proper divisors (168533740).

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

136030100 is a wasteful number, since it uses less digits than its factorization.

136030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 136030100 is about 11663.1942451457. The cubic root of 136030100 is about 514.2942543408.

Adding to 136030100 its reverse (1030631), we get a palindrome (137060731).

The spelling of 136030100 in words is "one hundred thirty-six million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 79 100 134 158 257 268 316 335 395 514 670 790 1028 1285 1340 1580 1675 1975 2570 3350 3950 5140 5293 6425 6700 7900 10586 12850 17219 20303 21172 25700 26465 34438 40606 52930 68876 81212 86095 101515 105860 132325 172190 203030 264650 344380 406060 430475 507575 529300 860950 1015150 1360301 1721900 2030300 2720602 5441204 6801505 13603010 27206020 34007525 68015050 136030100