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1010402000 = 2453505201
BaseRepresentation
bin111100001110011…
…000001011010000
32121102020201222022
4330032120023100
54032130331000
6244132231012
734016163266
oct7416301320
92542221868
101010402000
11479388a83
1224246b468
1313143ca0a
1498298436
155da88585
hex3c3982d0

1010402000 has 40 divisors (see below), whose sum is σ = 2443156872. Its totient is φ = 404160000.

The previous prime is 1010401999. The next prime is 1010402011. The reversal of 1010402000 is 2040101.

It can be written as a sum of positive squares in 4 ways, for example, as 47665216 + 962736784 = 6904^2 + 31028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250601 + ... + 254600.

Almost surely, 21010402000 is an apocalyptic number.

1010402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010402000 is an abundant number, since it is smaller than the sum of its proper divisors (1432754872).

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

1010402000 is an equidigital number, since it uses as much as digits as its factorization.

1010402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505224 (or 505208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1010402000 is about 31786.8211685283. The cubic root of 1010402000 is about 1003.4553799309.

Adding to 1010402000 its reverse (2040101), we get a palindrome (1012442101).

The spelling of 1010402000 in words is "one billion, ten million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 505201 1010402 2020804 2526005 4041608 5052010 8083216 10104020 12630025 20208040 25260050 40416080 50520100 63150125 101040200 126300250 202080400 252600500 505201000 1010402000