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20123523900 = 223352172631667
BaseRepresentation
bin10010101111011101…
…001001101100111100
31220221102221221012000
4102233131021230330
5312203110231100
613124500542300
71311452062614
oct225735115474
956842857160
1020123523900
118597228397
123a973b1990
131b891667bc
14d8c87ba44
157cba1a900
hex4af749b3c

20123523900 has 288 divisors, whose sum is σ = 68800596480. Its totient is φ = 5028387840.

The previous prime is 20123523899. The next prime is 20123523907. The reversal of 20123523900 is 932532102.

20123523900 is a `hidden beast` number, since 201 + 23 + 52 + 390 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123523907) 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, 12070867 + ... + 12072533.

It is an arithmetic number, because the mean of its divisors is an integer number (238890960).

Almost surely, 220123523900 is an apocalyptic number.

20123523900 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 20123523900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34400298240).

20123523900 is an abundant number, since it is smaller than the sum of its proper divisors (48677072580).

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

20123523900 is a wasteful number, since it uses less digits than its factorization.

20123523900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 20123523900 in words is "twenty billion, one hundred twenty-three million, five hundred twenty-three thousand, nine hundred".