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113303124 = 22351110597
BaseRepresentation
bin1101100000011…
…01111001010100
321220012101200000
412300031321110
5213001144444
615124251300
72544026544
oct660157124
9256171600
10113303124
1158a58350
1231b40b30
131a62098c
1411095324
159e31469
hex6c0de54

113303124 has 72 divisors (see below), whose sum is σ = 324044448. Its totient is φ = 34331040.

The previous prime is 113303119. The next prime is 113303153. The reversal of 113303124 is 421303311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113303097 and 113303106.

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, 5394 + ... + 15990.

Almost surely, 2113303124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113303124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162022224).

113303124 is an abundant number, since it is smaller than the sum of its proper divisors (210741324).

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

113303124 is a wasteful number, since it uses less digits than its factorization.

113303124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113303124 is about 10644.3940175099. The cubic root of 113303124 is about 483.8907216348.

Adding to 113303124 its reverse (421303311), we get a palindrome (534606435).

The spelling of 113303124 in words is "one hundred thirteen million, three hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10597 10692 21194 31791 42388 63582 95373 116567 127164 190746 233134 286119 349701 381492 466268 572238 699402 858357 1049103 1144476 1398804 1716714 2098206 2575071 3147309 3433428 4196412 5150142 6294618 9441927 10300284 12589236 18883854 28325781 37767708 56651562 113303124