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136211100 = 223524310559
BaseRepresentation
bin10000001111001…
…10101010011100
3100111022020111120
420013212222130
5234332223400
621303250540
73242526624
oct1007465234
9314266446
10136211100
116a984463
1239749a50
13222b18ac
1414139884
15be58ca0
hex81e6a9c

136211100 has 72 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 35474880.

The previous prime is 136211099. The next prime is 136211111. The reversal of 136211100 is 1112631.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 136211100.

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, 7621 + ... + 18179.

Almost surely, 2136211100 is an apocalyptic number.

136211100 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 136211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

136211100 is an abundant number, since it is smaller than the sum of its proper divisors (267096420).

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

136211100 is a wasteful number, since it uses less digits than its factorization.

136211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 136211100 is about 11670.9511180537. The cubic root of 136211100 is about 514.5222578087.

Adding to 136211100 its reverse (1112631), we get a palindrome (137323731).

The spelling of 136211100 in words is "one hundred thirty-six million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 10559 12900 21118 31677 42236 52795 63354 105590 126708 158385 211180 263975 316770 454037 527950 633540 791925 908074 1055900 1362111 1583850 1816148 2270185 2724222 3167700 4540370 5448444 6810555 9080740 11350925 13621110 22701850 27242220 34052775 45403700 68105550 136211100