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32230122120 = 233257101126631
BaseRepresentation
bin11110000001000100…
…001010001010001000
310002012011122211210200
4132001010022022020
51012001402401440
622450055212200
72220456342420
oct360104121210
9102164584720
1032230122120
111273a077869
1262b5977060
1330684121a1
1417ba6c7480
15c897e5c30
hex78110a288

32230122120 has 192 divisors, whose sum is σ = 120898103040. Its totient is φ = 7293888000.

The previous prime is 32230122101. The next prime is 32230122137. The reversal of 32230122120 is 2122103223.

32230122120 is a `hidden beast` number, since 322 + 301 + 2 + 21 + 20 = 666.

It is a super-2 number, since 2×322301221202 (a number of 22 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 = 32230122093 and 32230122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191205 + ... + 317835.

It is an arithmetic number, because the mean of its divisors is an integer number (629677620).

Almost surely, 232230122120 is an apocalyptic number.

32230122120 is a gapful number since it is divisible by the number (30) 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 32230122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60449051520).

32230122120 is an abundant number, since it is smaller than the sum of its proper divisors (88667980920).

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

32230122120 is a wasteful number, since it uses less digits than its factorization.

32230122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126756 (or 126749 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32230122120 its reverse (2122103223), we get a palindrome (34352225343).

The spelling of 32230122120 in words is "thirty-two billion, two hundred thirty million, one hundred twenty-two thousand, one hundred twenty".