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20320320123000 = 2333534999150551
BaseRepresentation
bin1001001111011001100010…
…11101100111000001111000
32122221121022001021201212000
410213230301131213001320
510130412003422414000
6111115005354021000
74165044322111332
oct447546135470170
978847261251760
1020320320123000
116524887a61517
12234226a117760
13b45275c12461
14503719db6452
152538a1447000
hex127b31767078

20320320123000 has 256 divisors, whose sum is σ = 70458336000000. Its totient is φ = 5417632080000.

The previous prime is 20320320122989. The next prime is 20320320123001. The reversal of 20320320123000 is 32102302302.

It is a happy number.

20320320123000 is a `hidden beast` number, since 2 + 0 + 32 + 0 + 320 + 12 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320320123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134897725 + ... + 135048275.

It is an arithmetic number, because the mean of its divisors is an integer number (275227875000).

Almost surely, 220320320123000 is an apocalyptic number.

20320320123000 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 20320320123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35229168000000).

20320320123000 is an abundant number, since it is smaller than the sum of its proper divisors (50138015877000).

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

20320320123000 is a wasteful number, since it uses less digits than its factorization.

20320320123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155580 (or 155560 counting only the distinct ones).

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

Adding to 20320320123000 its reverse (32102302302), we get a palindrome (20352422425302).

The spelling of 20320320123000 in words is "twenty trillion, three hundred twenty billion, three hundred twenty million, one hundred twenty-three thousand".