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23330332000332 = 223272329143996457
BaseRepresentation
bin1010100111000000001000…
…01001101100000001001100
310001121100122221200002001200
411103200010021230001030
511024221004443002312
6121341450114505500
74625363242656240
oct523400411540114
9101540587602050
1023330332000332
11748537a214885
1227496a8b95290
13100306ba2aa16
145a92a0844420
152a6d1eae30dc
hex15380426c04c

23330332000332 has 288 divisors, whose sum is σ = 72805572403200. Its totient is φ = 6151787744256.

The previous prime is 23330332000321. The next prime is 23330332000337. The reversal of 23330332000332 is 23300023303332.

23330332000332 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 0 + 3 + 320 + 0 + 0 + 332 = 666.

It is a super-2 number, since 2×233303320003322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23330332000296 and 23330332000305.

It is not an unprimeable number, because it can be changed into a prime (23330332000337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241824648 + ... + 241921104.

It is an arithmetic number, because the mean of its divisors is an integer number (252797126400).

Almost surely, 223330332000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23330332000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36402786201600).

23330332000332 is an abundant number, since it is smaller than the sum of its proper divisors (49475240402868).

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

23330332000332 is a wasteful number, since it uses less digits than its factorization.

23330332000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97965 (or 97960 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 27.

Adding to 23330332000332 its reverse (23300023303332), we get a palindrome (46630355303664).

The spelling of 23330332000332 in words is "twenty-three trillion, three hundred thirty billion, three hundred thirty-two million, three hundred thirty-two", and thus it is an aban number.