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23032001211000 = 23353233125142899
BaseRepresentation
bin1010011110010100011100…
…10000000010101001111000
310000112211121202122201212220
411033022032100002221320
511004324014302223000
6120552431050404040
74565002314052155
oct517121620025170
9100484552581786
1023032001211000
11737a8a9271231
1226bb90a730620
13cb0ba6988342
14598a7d29122c
1529e1adc551a0
hex14f28e402a78

23032001211000 has 512 divisors, whose sum is σ = 77713219584000. Its totient is φ = 5662536000000.

The previous prime is 23032001210993. The next prime is 23032001211041. The reversal of 23032001211000 is 11210023032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 536867551 + ... + 536910449.

It is an arithmetic number, because the mean of its divisors is an integer number (151783632000).

Almost surely, 223032001211000 is an apocalyptic number.

23032001211000 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 23032001211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38856609792000).

23032001211000 is an abundant number, since it is smaller than the sum of its proper divisors (54681218373000).

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

23032001211000 is a wasteful number, since it uses less digits than its factorization.

23032001211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43228 (or 43214 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23032001211000 its reverse (11210023032), we get a palindrome (23043211234032).

The spelling of 23032001211000 in words is "twenty-three trillion, thirty-two billion, one million, two hundred eleven thousand".