Search a number
-
+
113346900 = 223252125941
BaseRepresentation
bin1101100000110…
…00100101010100
321220021121201100
412300120211110
5213004100100
615125230100
72544301302
oct660304524
9256247640
10113346900
1158a88227
1231b62330
131a637894
14110a7272
159e3e400
hex6c18954

113346900 has 54 divisors (see below), whose sum is σ = 355282382. Its totient is φ = 30225600.

The previous prime is 113346899. The next prime is 113346901. The reversal of 113346900 is 9643311.

It is an interprime number because it is at equal distance from previous prime (113346899) and next prime (113346901).

It can be written as a sum of positive squares in 3 ways, for example, as 33315984 + 80030916 = 5772^2 + 8946^2 .

It is a super-2 number, since 2×1133469002 = 25695039479220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113346901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62071 + ... + 63870.

Almost surely, 2113346900 is an apocalyptic number.

113346900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113346900 is an abundant number, since it is smaller than the sum of its proper divisors (241935482).

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

113346900 is a wasteful number, since it uses less digits than its factorization.

113346900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125961 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113346900 is about 10646.4501125962. The cubic root of 113346900 is about 483.9530325756.

The spelling of 113346900 in words is "one hundred thirteen million, three hundred forty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 125941 251882 377823 503764 629705 755646 1133469 1259410 1511292 1889115 2266938 2518820 3148525 3778230 4533876 5667345 6297050 7556460 9445575 11334690 12594100 18891150 22669380 28336725 37782300 56673450 113346900