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113106630 = 23571323187
BaseRepresentation
bin1101011110111…
…01111011000110
321212211102010110
412233131323012
5212423403010
615120133450
72542250640
oct657357306
9255742113
10113106630
115893375a
1231a67286
131a582400
1411043890
159de3120
hex6bddec6

113106630 has 96 divisors (see below), whose sum is σ = 336040704. Its totient is φ = 23856768.

The previous prime is 113106613. The next prime is 113106647. The reversal of 113106630 is 36601311.

It is an interprime number because it is at equal distance from previous prime (113106613) and next prime (113106647).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113106597 and 113106606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33897 + ... + 37083.

It is an arithmetic number, because the mean of its divisors is an integer number (3500424).

Almost surely, 2113106630 is an apocalyptic number.

113106630 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 113106630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168020352).

113106630 is an abundant number, since it is smaller than the sum of its proper divisors (222934074).

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

113106630 is a wasteful number, since it uses less digits than its factorization.

113106630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 113106630 is about 10635.1600834214. The cubic root of 113106630 is about 483.6108333797.

Adding to 113106630 its reverse (36601311), we get a palindrome (149707941).

The spelling of 113106630 in words is "one hundred thirteen million, one hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3187 3549 5070 5915 6374 7098 9561 11830 15935 17745 19122 22309 31870 35490 41431 44618 47805 66927 82862 95610 111545 124293 133854 207155 223090 248586 290017 334635 414310 538603 580034 621465 669270 870051 1077206 1242930 1450085 1615809 1740102 2693015 2900170 3231618 3770221 4350255 5386030 7540442 8079045 8700510 11310663 16158090 18851105 22621326 37702210 56553315 113106630