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20023103232 = 283311289269
BaseRepresentation
bin10010101001011110…
…000100111100000000
31220200110000000221000
4102221132010330000
5312001403300412
613110512332000
71306122366156
oct225136047400
956613000830
1020023103232
118545579900
123a69844000
131b714066a2
14d7d3bb3d6
157c2cd14dc
hex4a9784f00

20023103232 has 432 divisors, whose sum is σ = 66060036000. Its totient is φ = 5977128960.

The previous prime is 20023103201. The next prime is 20023103281. The reversal of 20023103232 is 23230132002.

It is a happy number.

20023103232 is a `hidden beast` number, since 200 + 231 + 0 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74435194 + ... + 74435462.

It is an arithmetic number, because the mean of its divisors is an integer number (152916750).

Almost surely, 220023103232 is an apocalyptic number.

20023103232 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 20023103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030018000).

20023103232 is an abundant number, since it is smaller than the sum of its proper divisors (46036932768).

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

20023103232 is a wasteful number, since it uses less digits than its factorization.

20023103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

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

Adding to 20023103232 its reverse (23230132002), we get a palindrome (43253235234).

The spelling of 20023103232 in words is "twenty billion, twenty-three million, one hundred three thousand, two hundred thirty-two".