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23034023781120 = 28325111779135347
BaseRepresentation
bin1010011110011000001101…
…10011100010001100000000
310000120000211201110221111100
411033030012303202030000
511004342140041443440
6120553403501214400
74565103403446102
oct517140663421400
9100500751427440
1023034023781120
117380746a24090
122700193b61400
13cb1139a058b1
14598bd1b43572
1529e27b5c5230
hex14f306ce2300

23034023781120 has 864 divisors, whose sum is σ = 93220426091520. Its totient is φ = 5188970741760.

The previous prime is 23034023781073. The next prime is 23034023781127. The reversal of 23034023781120 is 2118732043032.

23034023781120 is a `hidden beast` number, since 2 + 3 + 0 + 340 + 237 + 81 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23034023781127) 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, 170117287 + ... + 170252633.

It is an arithmetic number, because the mean of its divisors is an integer number (107894011680).

Almost surely, 223034023781120 is an apocalyptic number.

23034023781120 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 23034023781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46610213045760).

23034023781120 is an abundant number, since it is smaller than the sum of its proper divisors (70186402310400).

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

23034023781120 is a wasteful number, since it uses less digits than its factorization.

23034023781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135481 (or 135464 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23034023781120 in words is "twenty-three trillion, thirty-four billion, twenty-three million, seven hundred eighty-one thousand, one hundred twenty".