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20100797028 = 2234132943289
BaseRepresentation
bin10010101110000110…
…011101001001100100
31220212212012021210000
4102232012131021210
5312131301001103
613122325501300
71311054645534
oct225606351144
956785167700
1020100797028
118585415354
123a8b871830
131b8453a150
14d898434c4
157c9a2baa3
hex4ae19d264

20100797028 has 360 divisors, whose sum is σ = 60607423800. Its totient is φ = 5767179264.

The previous prime is 20100797021. The next prime is 20100797039. The reversal of 20100797028 is 82079700102.

It can be written as a sum of positive squares in 4 ways, for example, as 38340864 + 20062456164 = 6192^2 + 141642^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20100796983 and 20100797001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100797021) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 225851608 + ... + 225851696.

It is an arithmetic number, because the mean of its divisors is an integer number (168353955).

Almost surely, 220100797028 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 20100797028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30303711900).

20100797028 is an abundant number, since it is smaller than the sum of its proper divisors (40506626772).

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

20100797028 is a wasteful number, since it uses less digits than its factorization.

20100797028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 20100797028 in words is "twenty billion, one hundred million, seven hundred ninety-seven thousand, twenty-eight".