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113311020 = 223537431187
BaseRepresentation
bin1101100000011…
…11110100101100
321220012210111110
412300033310230
5213001423040
615124352020
72544061554
oct660176454
9256183443
10113311020
1158a63279
1231b45610
131a624454
1411098164
159e33980
hex6c0fd2c

113311020 has 96 divisors (see below), whose sum is σ = 333704448. Its totient is φ = 28691712.

The previous prime is 113311013. The next prime is 113311027. The reversal of 113311020 is 20113311.

It is an interprime number because it is at equal distance from previous prime (113311013) and next prime (113311027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113310987 and 113311005.

It is not an unprimeable number, because it can be changed into a prime (113311027) 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, 94867 + ... + 96053.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2113311020 is an apocalyptic number.

113311020 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 113311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224).

113311020 is an abundant number, since it is smaller than the sum of its proper divisors (220393428).

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

113311020 is a wasteful number, since it uses less digits than its factorization.

113311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113311020 is about 10644.7649105088. The cubic root of 113311020 is about 483.9019620204.

Adding to 113311020 its reverse (20113311), we get a palindrome (133424331).

The spelling of 113311020 in words is "one hundred thirteen million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1187 1290 1591 2220 2374 2580 3182 3561 4748 4773 5935 6364 7122 7955 9546 11870 14244 15910 17805 19092 23740 23865 31820 35610 43919 47730 51041 71220 87838 95460 102082 131757 153123 175676 204164 219595 255205 263514 306246 439190 510410 527028 612492 658785 765615 878380 1020820 1317570 1531230 1888517 2635140 3062460 3777034 5665551 7554068 9442585 11331102 18885170 22662204 28327755 37770340 56655510 113311020