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32212123020 = 223257114354049
BaseRepresentation
bin11101111111111111…
…011111110110001100
310002010220210101200100
4131333333133312030
51011432300414040
622444213331100
72220150346050
oct357777376614
9102126711610
1032212123020
111272a9a3880
1262ab936a90
13306477c72c
1417b815dc60
15c87e3cb30
hex77ffdfd8c

32212123020 has 288 divisors, whose sum is σ = 124655731200. Its totient is φ = 6537646080.

The previous prime is 32212123019. The next prime is 32212123061. The reversal of 32212123020 is 2032121223.

It is a super-2 number, since 2×322121230202 (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 = 32212122984 and 32212123002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568956 + ... + 623004.

It is an arithmetic number, because the mean of its divisors is an integer number (432832400).

Almost surely, 232212123020 is an apocalyptic number.

32212123020 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 32212123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62327865600).

32212123020 is an abundant number, since it is smaller than the sum of its proper divisors (92443608180).

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

32212123020 is a wasteful number, since it uses less digits than its factorization.

32212123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54125 (or 54120 counting only the distinct ones).

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

Adding to 32212123020 its reverse (2032121223), we get a palindrome (34244244243).

The spelling of 32212123020 in words is "thirty-two billion, two hundred twelve million, one hundred twenty-three thousand, twenty".