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113421312 = 2103231397
BaseRepresentation
bin1101100001010…
…10110000000000
321220102101210100
412300222300000
5213013440222
615131002400
72545031244
oct660526000
9256371710
10113421312
1159029124
1231b99400
131a662704
14110c6424
159e564ac
hex6c2ac00

113421312 has 132 divisors (see below), whose sum is σ = 338917696. Its totient is φ = 36495360.

The previous prime is 113421311. The next prime is 113421313. The reversal of 113421312 is 213124311.

113421312 is a `hidden beast` number, since 11 + 342 + 1 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (113421311) and next prime (113421313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (113421311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285498 + ... + 285894.

Almost surely, 2113421312 is an apocalyptic number.

113421312 is a gapful number since it is divisible by the number (12) 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 113421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169458848).

113421312 is an abundant number, since it is smaller than the sum of its proper divisors (225496384).

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

113421312 is a wasteful number, since it uses less digits than its factorization.

113421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113421312 is about 10649.9442252061. The cubic root of 113421312 is about 484.0589141226.

Adding to 113421312 its reverse (213124311), we get a palindrome (326545623).

It can be divided in two parts, 1134213 and 12, that added together give a square (1134225 = 10652).

The spelling of 113421312 in words is "one hundred thirteen million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 397 496 512 558 576 744 768 794 992 1024 1116 1152 1191 1488 1536 1588 1984 2232 2304 2382 2976 3072 3176 3573 3968 4464 4608 4764 5952 6352 7146 7936 8928 9216 9528 11904 12307 12704 14292 15872 17856 19056 23808 24614 25408 28584 31744 35712 36921 38112 47616 49228 50816 57168 71424 73842 76224 95232 98456 101632 110763 114336 142848 147684 152448 196912 203264 221526 228672 285696 295368 304896 393824 406528 443052 457344 590736 609792 787648 886104 914688 1181472 1219584 1575296 1772208 1829376 2362944 3150592 3544416 3658752 4725888 6301184 7088832 9451776 12602368 14177664 18903552 28355328 37807104 56710656 113421312