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134016100 = 225217312543
BaseRepresentation
bin1111111110011…
…10110001100100
3100100011201112021
413333032301210
5233302003400
621144232524
73215055331
oct777166144
9310151467
10134016100
1169715309
1238a6b744
13219c378a
1413b27988
15bb7371a
hex7fcec64

134016100 has 72 divisors (see below), whose sum is σ = 317979648. Its totient is φ = 48806400.

The previous prime is 134016089. The next prime is 134016107. The reversal of 134016100 is 1610431.

It is not an unprimeable number, because it can be changed into a prime (134016107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51429 + ... + 53971.

It is an arithmetic number, because the mean of its divisors is an integer number (4416384).

Almost surely, 2134016100 is an apocalyptic number.

134016100 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 134016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158989824).

134016100 is an abundant number, since it is smaller than the sum of its proper divisors (183963548).

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

134016100 is a wasteful number, since it uses less digits than its factorization.

134016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 134016100 is about 11576.5322959857. The cubic root of 134016100 is about 511.7434882491.

Adding to 134016100 its reverse (1610431), we get a palindrome (135626531).

The spelling of 134016100 in words is "one hundred thirty-four million, sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2543 2635 3100 5086 5270 10172 10540 12715 13175 25430 26350 43231 50860 52700 63575 78833 86462 127150 157666 172924 216155 254300 315332 394165 432310 788330 864620 1080775 1340161 1576660 1970825 2161550 2680322 3941650 4323100 5360644 6700805 7883300 13401610 26803220 33504025 67008050 134016100