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232301320020 = 223257113138517
BaseRepresentation
bin1101100001011000111…
…1001101011101010100
3211012121110220202110100
43120112033031131110
512301223114220040
6254415011254100
722532433432450
oct3302617153524
9735543822410
10232301320020
118a578048000
12390312aa330
1318ba13cc1a3
14b35a01d660
156099130b30
hex36163cd754

232301320020 has 288 divisors, whose sum is σ = 885788257536. Its totient is φ = 48270055680.

The previous prime is 232301320007. The next prime is 232301320067. The reversal of 232301320020 is 20023103232.

It is a happy number.

232301320020 is a `hidden beast` number, since 2 + 323 + 0 + 1 + 320 + 0 + 20 = 666.

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 = 232301319975 and 232301320002.

It is a congruent number.

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, 1607802 + ... + 1746318.

It is an arithmetic number, because the mean of its divisors is an integer number (3075653672).

Almost surely, 2232301320020 is an apocalyptic number.

232301320020 is a gapful number since it is divisible by the number (20) 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 232301320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442894128768).

232301320020 is an abundant number, since it is smaller than the sum of its proper divisors (653486937516).

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

232301320020 is a wasteful number, since it uses less digits than its factorization.

232301320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138572 (or 138545 counting only the distinct ones).

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

Adding to 232301320020 its reverse (20023103232), we get a palindrome (252324423252).

The spelling of 232301320020 in words is "two hundred thirty-two billion, three hundred one million, three hundred twenty thousand, twenty".