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113321124 = 223272227283
BaseRepresentation
bin1101100000100…
…10010010100100
321220020022100200
412300102102210
5213002233444
615124510500
72544133200
oct660222244
9256208320
10113321124
1158a6a924
1231b4b430
131a628c27
141109bb00
159e36969
hex6c124a4

113321124 has 108 divisors (see below), whose sum is σ = 335868624. Its totient is φ = 32120928.

The previous prime is 113321113. The next prime is 113321189. The reversal of 113321124 is 421123311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113321097 and 113321106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400287 + ... + 400569.

Almost surely, 2113321124 is an apocalyptic number.

113321124 is a gapful number since it is divisible by the number (14) 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 113321124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167934312).

113321124 is an abundant number, since it is smaller than the sum of its proper divisors (222547500).

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

113321124 is a wasteful number, since it uses less digits than its factorization.

113321124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113321124 is about 10645.2394994194. The cubic root of 113321124 is about 483.9163448524.

Adding to 113321124 its reverse (421123311), we get a palindrome (534444435).

The spelling of 113321124 in words is "one hundred thirteen million, three hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 227 252 283 294 441 454 566 588 681 849 882 908 1132 1362 1589 1698 1764 1981 2043 2547 2724 3178 3396 3962 4086 4767 5094 5943 6356 7924 8172 9534 10188 11123 11886 13867 14301 17829 19068 22246 23772 27734 28602 33369 35658 41601 44492 55468 57204 64241 66738 71316 83202 100107 124803 128482 133476 166404 192723 200214 249606 256964 385446 400428 449687 499212 578169 770892 899374 1156338 1349061 1798748 2312676 2698122 3147809 4047183 5396244 6295618 8094366 9443427 12591236 16188732 18886854 28330281 37773708 56660562 113321124