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232100001000 = 23325373799571
BaseRepresentation
bin1101100000101000111…
…1001111010011101000
3211012002110002200200100
43120022033033103220
512300320100013000
6254343020305400
722524440312520
oct3301217172350
9735073080610
10232100001000
118a48444404a
1238b959a2260
1318b6b7a26ca
14b33b3b6680
156086615a00
hex360a3cf4e8

232100001000 has 384 divisors, whose sum is σ = 920809992960. Its totient is φ = 51617088000.

The previous prime is 232100000999. The next prime is 232100001041. The reversal of 232100001000 is 100001232.

It is a happy number.

232100001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2281215 + ... + 2380785.

It is an arithmetic number, because the mean of its divisors is an integer number (2397942690).

Almost surely, 2232100001000 is an apocalyptic number.

232100001000 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 232100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460404996480).

232100001000 is an abundant number, since it is smaller than the sum of its proper divisors (688709991960).

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

232100001000 is a wasteful number, since it uses less digits than its factorization.

232100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99642 (or 99625 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 232100001000 its reverse (100001232), we get a palindrome (232200002232).

The spelling of 232100001000 in words is "two hundred thirty-two billion, one hundred million, one thousand".