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113303300 = 225211177383
BaseRepresentation
bin1101100000011…
…01111100000100
321220012101220112
412300031330010
5213001201200
615124252152
72544030215
oct660157404
9256171815
10113303300
1158a584a0
1231b41058
131a620a96
141109540c
159e31535
hex6c0df04

113303300 has 144 divisors (see below), whose sum is σ = 291356352. Its totient is φ = 37785600.

The previous prime is 113303279. The next prime is 113303329. The reversal of 113303300 is 3303311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365059 + ... + 1365141.

It is an arithmetic number, because the mean of its divisors is an integer number (2023308).

Almost surely, 2113303300 is an apocalyptic number.

113303300 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 113303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145678176).

113303300 is an abundant number, since it is smaller than the sum of its proper divisors (178053052).

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

113303300 is a wasteful number, since it uses less digits than its factorization.

113303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 113303300 is about 10644.4022847692. The cubic root of 113303300 is about 483.8909721861.

Adding to 113303300 its reverse (3303311), we get a palindrome (116606611).

The spelling of 113303300 in words is "one hundred thirteen million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 73 83 85 100 110 146 166 170 187 220 275 292 332 340 365 374 415 425 550 730 748 803 830 850 913 935 1100 1241 1411 1460 1606 1660 1700 1825 1826 1870 2075 2482 2822 3212 3650 3652 3740 4015 4150 4565 4675 4964 5644 6059 6205 7055 7300 8030 8300 9130 9350 12118 12410 13651 14110 15521 16060 18260 18700 20075 22825 24236 24820 27302 28220 30295 31025 31042 35275 40150 45650 54604 60590 62050 62084 66649 68255 70550 77605 80300 91300 103003 121180 124100 133298 136510 141100 151475 155210 206006 266596 273020 302950 310420 333245 341275 388025 412012 515015 605900 666490 682550 776050 1030030 1133033 1332980 1365100 1552100 1666225 2060060 2266066 2575075 3332450 4532132 5150150 5665165 6664900 10300300 11330330 22660660 28325825 56651650 113303300