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232301003330000 = 24541141295717419
BaseRepresentation
bin110100110100011011001010…
…110010001101000111010000
31010110111202111100001010210002
4310310123022302031013100
5220422004423323030000
62142021335131425132
766634123263425003
oct6464331262150720
91113452440033702
10232301003330000
116802233633a130
12220795a7bb51a8
139c80b768c5b87
1441515ddd3953a
151bcca376428d5
hexd346cac8d1d0

232301003330000 has 400 divisors, whose sum is σ = 628766774475840. Its totient is φ = 82380172800000.

The previous prime is 232301003329991. The next prime is 232301003330027. The reversal of 232301003330000 is 33300103232.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2323010033300002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13336061291 + ... + 13336078709.

Almost surely, 2232301003330000 is an apocalyptic number.

232301003330000 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 232301003330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314383387237920).

232301003330000 is an abundant number, since it is smaller than the sum of its proper divisors (396465771145840).

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

232301003330000 is a wasteful number, since it uses less digits than its factorization.

232301003330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20456 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 232301003330000 its reverse (33300103232), we get a palindrome (232334303433232).

The spelling of 232301003330000 in words is "two hundred thirty-two trillion, three hundred one billion, three million, three hundred thirty thousand".