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112323203132 = 22728312015749
BaseRepresentation
bin110100010011011111…
…1000001000000111100
3101201220222220220221112
41220212333001000330
53320014220000012
6123333420021152
711054321321300
oct1504677010074
9351828826845
10112323203132
11436aa579aa8
12199289917b8
13a79090740a
145617971d00
152dc604e122
hex1a26fc103c

112323203132 has 72 divisors (see below), whose sum is σ = 231645834000. Its totient is φ = 47510668800.

The previous prime is 112323203117. The next prime is 112323203143. The reversal of 112323203132 is 231302323211.

It is a junction number, because it is equal to n+sod(n) for n = 112323203098 and 112323203107.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19534994 + ... + 19540742.

It is an arithmetic number, because the mean of its divisors is an integer number (3217303250).

Almost surely, 2112323203132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112323203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115822917000).

112323203132 is an abundant number, since it is smaller than the sum of its proper divisors (119322630868).

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

112323203132 is a wasteful number, since it uses less digits than its factorization.

112323203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 112323203132 its reverse (231302323211), we get a palindrome (343625526343).

The spelling of 112323203132 in words is "one hundred twelve billion, three hundred twenty-three million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 581 1162 1201 2324 2402 4067 4804 5749 8134 8407 11498 16268 16814 22996 33628 40243 58849 80486 99683 117698 160972 199366 235396 281701 398732 477167 563402 697781 954334 1126804 1395562 1908668 2791124 3340169 4884467 6680338 6904549 9768934 13360676 13809098 19537868 23381183 27618196 46762366 48331843 93524732 96663686 193327372 338322901 573077567 676645802 1146155134 1353291604 2292310268 4011542969 8023085938 16046171876 28080800783 56161601566 112323203132