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112532241132 = 2232172922328433
BaseRepresentation
bin110100011001101110…
…0011011101011101100
3101202110120021011011200
41220303130123223230
53320431223204012
6123410244245500
711062440160443
oct1506334335354
9352416234150
10112532241132
11437a7575383
12199869a0890
13a7c500743c
145637627d5a
152dd95913dc
hex1a3371baec

112532241132 has 144 divisors (see below), whose sum is σ = 312983274240. Its totient is φ = 33932795904.

The previous prime is 112532241113. The next prime is 112532241137. The reversal of 112532241132 is 231142235211.

It is a happy number.

112532241132 is a `hidden beast` number, since 1 + 12 + 532 + 2 + 4 + 113 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112532241096 and 112532241105.

It is not an unprimeable number, because it can be changed into a prime (112532241137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3943588 + ... + 3972020.

It is an arithmetic number, because the mean of its divisors is an integer number (2173494960).

Almost surely, 2112532241132 is an apocalyptic number.

112532241132 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 112532241132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156491637120).

112532241132 is an abundant number, since it is smaller than the sum of its proper divisors (200451033108).

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

112532241132 is a wasteful number, since it uses less digits than its factorization.

112532241132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28712 (or 28707 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 112532241132 its reverse (231142235211), we get a palindrome (343674476343).

The spelling of 112532241132 in words is "one hundred twelve billion, five hundred thirty-two million, two hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 223 261 306 348 446 493 522 612 669 892 986 1044 1338 1479 1972 2007 2676 2958 3791 4014 4437 5916 6467 7582 8028 8874 11373 12934 15164 17748 19401 22746 25868 28433 34119 38802 45492 56866 58203 68238 77604 85299 109939 113732 116406 136476 170598 219878 232812 255897 329817 341196 439756 483361 511794 659634 824557 966722 989451 1023588 1319268 1450083 1649114 1933444 1978902 2473671 2900166 3298228 3957804 4350249 4947342 5800332 6340559 7421013 8700498 9894684 12681118 14017469 14842026 17400996 19021677 25362236 28034938 29684052 38043354 42052407 56069876 57065031 76086708 84104814 107789503 114130062 126157221 168209628 183876211 215579006 228260124 252314442 323368509 367752422 431158012 504628884 551628633 646737018 735504844 970105527 1103257266 1293474036 1654885899 1940211054 2206514532 3125895587 3309771798 3880422108 6251791174 6619543596 9377686761 12503582348 18755373522 28133060283 37510747044 56266120566 112532241132