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20012332032 = 2103271128201
BaseRepresentation
bin10010101000110100…
…111111010000000000
31220122200201210121200
4102220310333100000
5311441124111112
613105445421200
71305632005230
oct225064772000
956580653550
1020012332032
11853a492290
123a6610a800
131b6c104ab4
14d7bbb5cc0
157c1da4cdc
hex4a8d3f400

20012332032 has 264 divisors, whose sum is σ = 72046408512. Its totient is φ = 5197824000.

The previous prime is 20012331991. The next prime is 20012332033. The reversal of 20012332032 is 23023321002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 = 20012331996 and 20012332014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012332033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695532 + ... + 723732.

Almost surely, 220012332032 is an apocalyptic number.

20012332032 is a gapful number since it is divisible by the number (22) 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 20012332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36023204256).

20012332032 is an abundant number, since it is smaller than the sum of its proper divisors (52034076480).

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

20012332032 is a wasteful number, since it uses less digits than its factorization.

20012332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245 (or 28224 counting only the distinct ones).

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

Adding to 20012332032 its reverse (23023321002), we get a palindrome (43035653034).

The spelling of 20012332032 in words is "twenty billion, twelve million, three hundred thirty-two thousand, thirty-two".