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113232210120 = 2334547743579
BaseRepresentation
bin110100101110100101…
…0100110100011001000
3101211021100101021010000
41221131022212203020
53323344421210440
6124003531123000
711115666622401
oct1513512464310
9354240337100
10113232210120
11440266a3447
1219b412a3460
13a8a7035683
1456a25949a8
152e2ac59730
hex1a5d2a68c8

113232210120 has 160 divisors (see below), whose sum is σ = 388684137600. Its totient is φ = 29552764032.

The previous prime is 113232210107. The next prime is 113232210121. The reversal of 113232210120 is 21012232311.

113232210120 is a `hidden beast` number, since 1 + 1 + 323 + 221 + 0 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113232210093 and 113232210102.

It is not an unprimeable number, because it can be changed into a prime (113232210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219510 + ... + 524069.

It is an arithmetic number, because the mean of its divisors is an integer number (2429275860).

Almost surely, 2113232210120 is an apocalyptic number.

113232210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113232210120 is an abundant number, since it is smaller than the sum of its proper divisors (275451927480).

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

113232210120 is a wasteful number, since it uses less digits than its factorization.

113232210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743649 (or 743636 counting only the distinct ones).

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

Adding to 113232210120 its reverse (21012232311), we get a palindrome (134244442431).

The spelling of 113232210120 in words is "one hundred thirteen billion, two hundred thirty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 81 90 94 108 120 135 141 162 180 188 216 235 270 282 324 360 376 405 423 470 540 564 648 705 810 846 940 1080 1128 1269 1410 1620 1692 1880 2115 2538 2820 3240 3384 3807 4230 5076 5640 6345 7614 8460 10152 12690 15228 16920 19035 25380 30456 38070 50760 76140 152280 743579 1487158 2230737 2974316 3717895 4461474 5948632 6692211 7435790 8922948 11153685 13384422 14871580 17845896 20076633 22307370 26768844 29743160 33461055 34948213 40153266 44614740 53537688 60229899 66922110 69896426 80306532 89229480 100383165 104844639 120459798 133844220 139792852 160613064 174741065 200766330 209689278 240919596 267688440 279585704 301149495 314533917 349482130 401532660 419378556 481839192 524223195 602298990 629067834 698964260 803065320 838757112 943601751 1048446390 1204597980 1258135668 1397928520 1572669585 1887203502 2096892780 2409195960 2516271336 2830805253 3145339170 3774407004 4193785560 4718008755 5661610506 6290678340 7548814008 9436017510 11323221012 12581356680 14154026265 18872035020 22646442024 28308052530 37744070040 56616105060 113232210120