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113113410 = 23517257863
BaseRepresentation
bin1101011110111…
…11100101000010
321212211202102120
412233133211002
5212424112120
615120225110
72542306464
oct657374502
9255752376
10113113410
1158938863
1231a6b196
131a585517
1411046134
159de5140
hex6bdf942

113113410 has 64 divisors (see below), whose sum is σ = 288893952. Its totient is φ = 28246016.

The previous prime is 113113409. The next prime is 113113411. The reversal of 113113410 is 14311311.

It is an interprime number because it is at equal distance from previous prime (113113409) and next prime (113113411).

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113113410.

It is not an unprimeable number, because it can be changed into a prime (113113411) 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, 130639 + ... + 131501.

It is an arithmetic number, because the mean of its divisors is an integer number (4513968).

Almost surely, 2113113410 is an apocalyptic number.

113113410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113113410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144446976).

113113410 is an abundant number, since it is smaller than the sum of its proper divisors (175780542).

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

113113410 is a wasteful number, since it uses less digits than its factorization.

113113410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 113113410 is about 10635.4788326619. The cubic root of 113113410 is about 483.6204962849.

Adding to 113113410 its reverse (14311311), we get a palindrome (127424721).

It can be divided in two parts, 1131 and 13410, that added together give a palindrome (14541).

The spelling of 113113410 in words is "one hundred thirteen million, one hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 257 510 514 771 863 1285 1542 1726 2570 2589 3855 4315 4369 5178 7710 8630 8738 12945 13107 14671 21845 25890 26214 29342 43690 44013 65535 73355 88026 131070 146710 220065 221791 440130 443582 665373 1108955 1330746 2217910 3326865 3770447 6653730 7540894 11311341 18852235 22622682 37704470 56556705 113113410