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113430100 = 2252733307
BaseRepresentation
bin1101100001011…
…00111001010100
321220102211211211
412300230321110
5213014230400
615131111204
72545066000
oct660547124
9256384754
10113430100
1159034793
1231ba2504
131a666704
14110c9700
159e58dba
hex6c2ce54

113430100 has 72 divisors (see below), whose sum is σ = 287134400. Its totient is φ = 38878560.

The previous prime is 113430077. The next prime is 113430113. The reversal of 113430100 is 1034311.

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, 32647 + ... + 35953.

Almost surely, 2113430100 is an apocalyptic number.

113430100 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 113430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143567200).

113430100 is an abundant number, since it is smaller than the sum of its proper divisors (173704300).

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

113430100 is a wasteful number, since it uses less digits than its factorization.

113430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 113430100 is about 10650.3568015349. The cubic root of 113430100 is about 484.0714155940.

Adding to 113430100 its reverse (1034311), we get a palindrome (114464411).

The spelling of 113430100 in words is "one hundred thirteen million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3307 3430 4900 6614 6860 8575 13228 16535 17150 23149 33070 34300 46298 66140 82675 92596 115745 162043 165350 231490 324086 330700 462980 578725 648172 810215 1134301 1157450 1620430 2268602 2314900 3240860 4051075 4537204 5671505 8102150 11343010 16204300 22686020 28357525 56715050 113430100