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113022280 = 23572931449
BaseRepresentation
bin1101011110010…
…01010101001000
321212200010102101
412233021111020
5212413203110
615114243144
72541450010
oct657112510
9255603371
10113022280
1158886348
1231a264b4
131a552bb7
1411020c40
159dc813a
hex6bc9548

113022280 has 128 divisors (see below), whose sum is σ = 311040000. Its totient is φ = 36126720.

The previous prime is 113022277. The next prime is 113022289. The reversal of 113022280 is 82220311.

It is not an unprimeable number, because it can be changed into a prime (113022289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251496 + ... + 251944.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2113022280 is an apocalyptic number.

113022280 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 113022280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

113022280 is an abundant number, since it is smaller than the sum of its proper divisors (198017720).

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

113022280 is a wasteful number, since it uses less digits than its factorization.

113022280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 113022280 is about 10631.1937241309. The cubic root of 113022280 is about 483.4905848483.

Adding to 113022280 its reverse (82220311), we get a palindrome (195242591).

The spelling of 113022280 in words is "one hundred thirteen million, twenty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 31 35 40 56 58 62 70 116 124 140 145 155 203 217 232 248 280 290 310 406 434 449 580 620 812 868 898 899 1015 1085 1160 1240 1624 1736 1796 1798 2030 2170 2245 3143 3592 3596 4060 4340 4490 4495 6286 6293 7192 8120 8680 8980 8990 12572 12586 13021 13919 15715 17960 17980 25144 25172 26042 27838 31430 31465 35960 50344 52084 55676 62860 62930 65105 69595 91147 97433 104168 111352 125720 125860 130210 139190 182294 194866 251720 260420 278380 364588 389732 403651 455735 487165 520840 556760 729176 779464 807302 911470 974330 1614604 1822940 1948660 2018255 2825557 3229208 3645880 3897320 4036510 5651114 8073020 11302228 14127785 16146040 22604456 28255570 56511140 113022280