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113111520 = 2535713319
BaseRepresentation
bin1101011110111…
…11000111100000
321212211122211120
412233133013200
5212424032040
615120212240
72542301124
oct657370740
9255748746
10113111520
11589373a5
1231a6a080
131a5846c2
1411045584
159de47d0
hex6bdf1e0

113111520 has 96 divisors (see below), whose sum is σ = 361428480. Its totient is φ = 29729280.

The previous prime is 113111491. The next prime is 113111527. The reversal of 113111520 is 25111311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113111520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113111527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32421 + ... + 35739.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2113111520 is an apocalyptic number.

113111520 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 113111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180714240).

113111520 is an abundant number, since it is smaller than the sum of its proper divisors (248316960).

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

113111520 is a wasteful number, since it uses less digits than its factorization.

113111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 113111520 is about 10635.3899787455. The cubic root of 113111520 is about 483.6178026820.

Adding to 113111520 its reverse (25111311), we get a palindrome (138222831).

The spelling of 113111520 in words is "one hundred thirteen million, one hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3319 3408 4260 5680 6638 6816 8520 9957 11360 13276 16595 17040 19914 26552 33190 34080 39828 49785 53104 66380 79656 99570 106208 132760 159312 199140 235649 265520 318624 398280 471298 531040 706947 796560 942596 1178245 1413894 1593120 1885192 2356490 2827788 3534735 3770384 4712980 5655576 7069470 7540768 9425960 11311152 14138940 18851920 22622304 28277880 37703840 56555760 113111520