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101113060 = 22519232503
BaseRepresentation
bin1100000011011…
…01110011100100
321001021002001011
412001231303210
5201341104220
614011112004
72335306156
oct601556344
9231232034
10101113060
1152091814
1229a42604
1317c43319
14d600ad6
158d2465a
hex606dce4

101113060 has 72 divisors (see below), whose sum is σ = 234118080. Its totient is φ = 36577728.

The previous prime is 101113057. The next prime is 101113069. The reversal of 101113060 is 60311101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101113060.

It is not an unprimeable number, because it can be changed into a prime (101113069) 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 23 ways as a sum of consecutive naturals, for example, 200769 + ... + 201271.

It is an arithmetic number, because the mean of its divisors is an integer number (3251640).

Almost surely, 2101113060 is an apocalyptic number.

101113060 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 101113060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117059040).

101113060 is an abundant number, since it is smaller than the sum of its proper divisors (133005020).

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

101113060 is a wasteful number, since it uses less digits than its factorization.

101113060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 101113060 is about 10055.4989930883. The cubic root of 101113060 is about 465.8746554514.

Adding to 101113060 its reverse (60311101), we get a palindrome (161424161).

The spelling of 101113060 in words is "one hundred one million, one hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 503 529 874 1006 1058 1748 2012 2116 2185 2515 2645 4370 5030 5290 8740 9557 10051 10060 10580 11569 19114 20102 23138 38228 40204 46276 47785 50255 57845 95570 100510 115690 191140 201020 219811 231380 266087 439622 532174 879244 1064348 1099055 1330435 2198110 2660870 4396220 5055653 5321740 10111306 20222612 25278265 50556530 101113060