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113121330 = 23573131721
BaseRepresentation
bin1101011111000…
…01100000110010
321212212011021220
412233201200302
5212424340310
615120325510
72542341540
oct657414062
9255764256
10113121330
1158943803
1231a73896
131a588cca
1411048d90
159de7670
hex6be1832

113121330 has 64 divisors (see below), whose sum is σ = 311447808. Its totient is φ = 25758720.

The previous prime is 113121317. The next prime is 113121341. The reversal of 113121330 is 33121311.

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

It is a Curzon number.

It is an unprimeable number.

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, 64870 + ... + 66590.

It is an arithmetic number, because the mean of its divisors is an integer number (4866372).

Almost surely, 2113121330 is an apocalyptic number.

113121330 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 113121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155723904).

113121330 is an abundant number, since it is smaller than the sum of its proper divisors (198326478).

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

113121330 is a wasteful number, since it uses less digits than its factorization.

113121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113121330 is about 10635.8511648105. The cubic root of 113121330 is about 483.6317834375.

Adding to 113121330 its reverse (33121311), we get a palindrome (146242641).

The spelling of 113121330 in words is "one hundred thirteen million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 313 626 939 1565 1721 1878 2191 3130 3442 4382 4695 5163 6573 8605 9390 10326 10955 12047 13146 17210 21910 24094 25815 32865 36141 51630 60235 65730 72282 120470 180705 361410 538673 1077346 1616019 2693365 3232038 3770711 5386730 7541422 8080095 11312133 16160190 18853555 22624266 37707110 56560665 113121330