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1040101000 = 23531040101
BaseRepresentation
bin111101111111101…
…010111010001000
32200111010121100021
4331333222322020
54112231213000
6251112550224
734526466301
oct7577527210
92614117307
101040101000
11494123304
122503b2374
1313763a9a3
149c1c97a8
15614a311a
hex3dfeae88

1040101000 has 32 divisors (see below), whose sum is σ = 2433838680. Its totient is φ = 416040000.

The previous prime is 1040100977. The next prime is 1040101001. The reversal of 1040101000 is 1010401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50495236 + 989605764 = 7106^2 + 31458^2 .

It is not an unprimeable number, because it can be changed into a prime (1040101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519051 + ... + 521050.

Almost surely, 21040101000 is an apocalyptic number.

1040101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040101000 is an abundant number, since it is smaller than the sum of its proper divisors (1393737680).

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

1040101000 is a wasteful number, since it uses less digits than its factorization.

1040101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040122 (or 1040108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1040101000 is about 32250.5968937011. The cubic root of 1040101000 is about 1013.1922005469.

Adding to 1040101000 its reverse (1010401), we get a palindrome (1041111401).

The spelling of 1040101000 in words is "one billion, forty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1040101 2080202 4160404 5200505 8320808 10401010 20802020 26002525 41604040 52005050 104010100 130012625 208020200 260025250 520050500 1040101000