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113311536 = 243134143103
BaseRepresentation
bin1101100000011…
…11111100110000
321220012211012120
412300033330300
5213001432121
615124354240
72544063222
oct660177460
9256184176
10113311536
1158a636a8
1231b45980
131a624760
1411098412
159e33bc6
hex6c0ff30

113311536 has 160 divisors (see below), whose sum is σ = 333645312. Its totient is φ = 32901120.

The previous prime is 113311531. The next prime is 113311537. The reversal of 113311536 is 635113311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113311531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100061 + ... + 1100163.

Almost surely, 2113311536 is an apocalyptic number.

113311536 is a gapful number since it is divisible by the number (16) 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 113311536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166822656).

113311536 is an abundant number, since it is smaller than the sum of its proper divisors (220333776).

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

113311536 is a wasteful number, since it uses less digits than its factorization.

113311536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 113311536 is about 10644.7891477474. The cubic root of 113311536 is about 483.9026965563.

Adding to 113311536 its reverse (635113311), we get a palindrome (748424847).

The spelling of 113311536 in words is "one hundred thirteen million, three hundred eleven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 43 48 52 78 82 86 103 104 123 129 156 164 172 206 208 246 258 309 312 328 344 412 492 516 533 559 618 624 656 688 824 984 1032 1066 1118 1236 1339 1599 1648 1677 1763 1968 2064 2132 2236 2472 2678 3198 3354 3526 4017 4223 4264 4429 4472 4944 5289 5356 6396 6708 7052 8034 8446 8528 8858 8944 10578 10712 12669 12792 13287 13416 14104 16068 16892 17716 21156 21424 22919 25338 25584 26574 26832 28208 32136 33784 35432 42312 45838 50676 53148 54899 57577 64272 67568 68757 70864 84624 91676 101352 106296 109798 115154 137514 164697 172731 181589 183352 202704 212592 219596 230308 275028 329394 345462 363178 366704 439192 460616 544767 550056 658788 690924 726356 878384 921232 1089534 1100112 1317576 1381848 1452712 2179068 2360657 2635152 2763696 2905424 4358136 4721314 7081971 8716272 9442628 14163942 18885256 28327884 37770512 56655768 113311536