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136112010 = 23519317703
BaseRepresentation
bin10000001110011…
…10011110001010
3100111010012120120
420013032132022
5234321041020
621301204110
73241635006
oct1007163612
9314105516
10136112010
116a916a71
1239700636
1322278768
1414111706
15be39740
hex81ce78a

136112010 has 64 divisors (see below), whose sum is σ = 355000320. Its totient is φ = 33272640.

The previous prime is 136111981. The next prime is 136112017. The reversal of 136112010 is 10211631.

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

It is not an unprimeable number, because it can be changed into a prime (136112017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13819 + ... + 21521.

It is an arithmetic number, because the mean of its divisors is an integer number (5546880).

Almost surely, 2136112010 is an apocalyptic number.

136112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177500160).

136112010 is an abundant number, since it is smaller than the sum of its proper divisors (218888310).

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

136112010 is a wasteful number, since it uses less digits than its factorization.

136112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763.

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

The square root of 136112010 is about 11666.7051904126. The cubic root of 136112010 is about 514.3974603957.

Adding to 136112010 its reverse (10211631), we get a palindrome (146323641).

The spelling of 136112010 in words is "one hundred thirty-six million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 7703 8835 15406 17670 23109 38515 46218 77030 115545 146357 231090 238793 292714 439071 477586 716379 731785 878142 1193965 1432758 1463570 2195355 2387930 3581895 4390710 4537067 7163790 9074134 13611201 22685335 27222402 45370670 68056005 136112010