Search a number
-
+
1010122000 = 2453505061
BaseRepresentation
bin111100001101010…
…011110100010000
32121101201111212221
4330031103310100
54032042401000
6244122230424
734013616046
oct7415236420
92541644787
101010122000
11479207678
12242355414
13131372434
1498224396
155da3061a
hex3c353d10

1010122000 has 40 divisors (see below), whose sum is σ = 2442479832. Its totient is φ = 404048000.

The previous prime is 1010121967. The next prime is 1010122033. The reversal of 1010122000 is 2210101.

It is an interprime number because it is at equal distance from previous prime (1010121967) and next prime (1010122033).

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 991494144 = 4316^2 + 31488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250531 + ... + 254530.

Almost surely, 21010122000 is an apocalyptic number.

1010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010122000 is an abundant number, since it is smaller than the sum of its proper divisors (1432357832).

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

1010122000 is an equidigital number, since it uses as much as digits as its factorization.

1010122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505084 (or 505068 counting only the distinct ones).

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

The square root of 1010122000 is about 31782.4165223477. The cubic root of 1010122000 is about 1003.3626797105.

Adding to 1010122000 its reverse (2210101), we get a palindrome (1012332101).

The spelling of 1010122000 in words is "one billion, ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 505061 1010122 2020244 2525305 4040488 5050610 8080976 10101220 12626525 20202440 25253050 40404880 50506100 63132625 101012200 126265250 202024400 252530500 505061000 1010122000