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32020022120 = 2357327493989
BaseRepresentation
bin11101110100100010…
…101100001101101000
310001122112022122210012
4131310202230031220
51011034111201440
622413152111052
72212325461112
oct356442541550
9101575278705
1032020022120
11126415165a9
126257535488
133033a2c968
14179a8363b2
15c76143e65
hex7748ac368

32020022120 has 64 divisors (see below), whose sum is σ = 73076850000. Its totient is φ = 12624795648.

The previous prime is 32020022113. The next prime is 32020022123. The reversal of 32020022120 is 2122002023.

It can be written as a sum of positive squares in 8 ways, for example, as 7840394116 + 24179628004 = 88546^2 + 155498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32020022095 and 32020022104.

It is not an unprimeable number, because it can be changed into a prime (32020022123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8025086 + ... + 8029074.

Almost surely, 232020022120 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 32020022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36538425000).

32020022120 is an abundant number, since it is smaller than the sum of its proper divisors (41056827880).

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

32020022120 is a wasteful number, since it uses less digits than its factorization.

32020022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32020022120 its reverse (2122002023), we get a palindrome (34142024143).

The spelling of 32020022120 in words is "thirty-two billion, twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2749 2920 3989 5498 7978 10996 13745 15956 19945 21992 27490 31912 39890 54980 79780 109960 159560 200677 291197 401354 582394 802708 1003385 1164788 1455985 1605416 2006770 2329576 2911970 4013540 5823940 8027080 10965761 11647880 21931522 43863044 54828805 87726088 109657610 219315220 438630440 800500553 1601001106 3202002212 4002502765 6404004424 8005005530 16010011060 32020022120