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32123320020 = 2232511178910723
BaseRepresentation
bin11101111010101100…
…101111011011010100
310001220201200201212100
4131322230233123110
51011242032220040
622431322122100
72215021500141
oct357254573324
9101821621770
1032123320020
111269485a870
126286050330
13304c25958c
1417aa4453c8
15c8024ab30
hex77ab2f6d4

32123320020 has 288 divisors, whose sum is σ = 113827109760. Its totient is φ = 7246356480.

The previous prime is 32123320013. The next prime is 32123320027. The reversal of 32123320020 is 2002332123.

It is a happy number.

32123320020 is a `hidden beast` number, since 321 + 2 + 3 + 320 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (32123320013) and next prime (32123320027).

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 = 32123319975 and 32123320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32123320027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2990379 + ... + 3001101.

It is an arithmetic number, because the mean of its divisors is an integer number (395233020).

Almost surely, 232123320020 is an apocalyptic number.

32123320020 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 32123320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56913554880).

32123320020 is an abundant number, since it is smaller than the sum of its proper divisors (81703789740).

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

32123320020 is a wasteful number, since it uses less digits than its factorization.

32123320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855 (or 10850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32123320020 its reverse (2002332123), we get a palindrome (34125652143).

The spelling of 32123320020 in words is "thirty-two billion, one hundred twenty-three million, three hundred twenty thousand, twenty".