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1010104128 = 26331124831
BaseRepresentation
bin111100001101001…
…111011101000000
32121101200121101000
4330031033131000
54032041313003
6244122012000
734013512665
oct7415173500
92541617330
101010104128
114791a5200
12242347000
13131367267
149821ba6c
155da2a1a3
hex3c34f740

1010104128 has 168 divisors, whose sum is σ = 3264692480. Its totient is φ = 306028800.

The previous prime is 1010104111. The next prime is 1010104153. The reversal of 1010104128 is 8214010101.

1010104128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010104128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206673 + ... + 211503.

Almost surely, 21010104128 is an apocalyptic number.

1010104128 is a gapful number since it is divisible by the number (18) 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 1010104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632346240).

1010104128 is an abundant number, since it is smaller than the sum of its proper divisors (2254588352).

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

1010104128 is a wasteful number, since it uses less digits than its factorization.

1010104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1010104128 is about 31782.1353593493. The cubic root of 1010104128 is about 1003.3567622063.

Adding to 1010104128 its reverse (8214010101), we get a palindrome (9224114229).

The spelling of 1010104128 in words is "one billion, ten million, one hundred four thousand, one hundred twenty-eight".