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112321002132 = 22334733236659
BaseRepresentation
bin110100010011011011…
…0100111101010010100
3101201220211210002202000
41220212312213222110
53320013134032012
6123333300515300
711054263523343
oct1504666475224
9351824702660
10112321002132
11436a9306399
12199280abb30
13a790316651
14561755bb5a
152dc5c66ddc
hex1a26da7a94

112321002132 has 96 divisors (see below), whose sum is σ = 297532569600. Its totient is φ = 36627202656.

The previous prime is 112321002119. The next prime is 112321002137. The reversal of 112321002132 is 231200123211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112321002137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16864219 + ... + 16870877.

It is an arithmetic number, because the mean of its divisors is an integer number (3099297600).

Almost surely, 2112321002132 is an apocalyptic number.

112321002132 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 112321002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148766284800).

112321002132 is an abundant number, since it is smaller than the sum of its proper divisors (185211567468).

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

112321002132 is a wasteful number, since it uses less digits than its factorization.

112321002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10034 counting only the distinct ones).

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

Adding to 112321002132 its reverse (231200123211), we get a palindrome (343521125343).

The spelling of 112321002132 in words is "one hundred twelve billion, three hundred twenty-one million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 3323 5076 6646 6659 9969 13292 13318 19938 19977 26636 29907 39876 39954 59814 59931 79908 89721 119628 119862 156181 179442 179793 239724 312362 312973 358884 359586 468543 624724 625946 719172 937086 938919 1251892 1405629 1874172 1877838 2811258 2816757 3755676 4216887 5622516 5633514 8433774 8450271 11267028 16867548 16900542 22127857 33801084 44255714 66383571 88511428 132767142 199150713 265534284 398301426 597452139 796602852 1040009279 1194904278 2080018558 2389808556 3120027837 4160037116 6240055674 9360083511 12480111348 18720167022 28080250533 37440334044 56160501066 112321002132