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112302211032 = 233211141795721
BaseRepresentation
bin110100010010110111…
…0111011111111011000
3101201212112102102012100
41220211232323333120
53314443331223112
6123331350043400
711053645020654
oct1504556737730
9351775372170
10112302211032
1143699741360
1219921949560
13a78946755b
145614c69a64
152dc42a42dc
hex1a25bbbfd8

112302211032 has 48 divisors (see below), whose sum is σ = 331801989480. Its totient is φ = 34030972800.

The previous prime is 112302211031. The next prime is 112302211127. The reversal of 112302211032 is 230112203211.

It is a super-2 number, since 2×1123022110322 (a number of 23 digits) contains 22 as substring.

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 = 112302210996 and 112302211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112302211031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70897069 + ... + 70898652.

Almost surely, 2112302211032 is an apocalyptic number.

112302211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112302211032 is an abundant number, since it is smaller than the sum of its proper divisors (219499778448).

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

112302211032 is a wasteful number, since it uses less digits than its factorization.

112302211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141795744 (or 141795737 counting only the distinct ones).

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

Adding to 112302211032 its reverse (230112203211), we get a palindrome (342414414243).

The spelling of 112302211032 in words is "one hundred twelve billion, three hundred two million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 141795721 283591442 425387163 567182884 850774326 1134365768 1276161489 1559752931 1701548652 2552322978 3119505862 3403097304 4679258793 5104645956 6239011724 9358517586 10209291912 12478023448 14037776379 18717035172 28075552758 37434070344 56151105516 112302211032