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112121520 = 2435766739
BaseRepresentation
bin1101010111011…
…01011010110000
321210222100210220
412223231122300
5212200342040
615043053040
72531005620
oct653553260
9253870726
10112121520
1158320615
1231671180
131a2c8bc4
1410c68880
159c9b2d0
hex6aed6b0

112121520 has 80 divisors (see below), whose sum is σ = 397236480. Its totient is φ = 25627392.

The previous prime is 112121519. The next prime is 112121521. The reversal of 112121520 is 25121211.

It is an interprime number because it is at equal distance from previous prime (112121519) and next prime (112121521).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1121215202 = 25142470494220800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112121520.

It is not an unprimeable number, because it can be changed into a prime (112121521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31690 + ... + 35049.

It is an arithmetic number, because the mean of its divisors is an integer number (4965456).

Almost surely, 2112121520 is an apocalyptic number.

112121520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121520 is an abundant number, since it is smaller than the sum of its proper divisors (285114960).

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

112121520 is a wasteful number, since it uses less digits than its factorization.

112121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66762 (or 66756 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 112121520 is about 10588.7449681254. The cubic root of 112121520 is about 482.2027234461.

Adding to 112121520 its reverse (25121211), we get a palindrome (137242731).

The spelling of 112121520 in words is "one hundred twelve million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 66739 133478 200217 266956 333695 400434 467173 533912 667390 800868 934346 1001085 1067824 1334780 1401519 1601736 1868692 2002170 2335865 2669560 2803038 3203472 3737384 4004340 4671730 5339120 5606076 7007595 7474768 8008680 9343460 11212152 14015190 16017360 18686920 22424304 28030380 37373840 56060760 112121520