Search a number
-
+
1000120110000 = 24354113030667
BaseRepresentation
bin11101000110110111100…
…11011100101110110000
310112121111002102122102120
432203123303130232300
5112341221222010000
62043240540514240
7132153623445654
oct16433363345660
93477432378376
101000120110000
1135616a802360
121419b624b980
137340713084b
1436598390a64
151b03708e6a0
hexe8dbcdcbb0

1000120110000 has 200 divisors, whose sum is σ = 3522024141504. Its totient is φ = 242453280000.

The previous prime is 1000120109999. The next prime is 1000120110001. The reversal of 1000120110000 is 110210001.

It is an interprime number because it is at equal distance from previous prime (1000120109999) and next prime (1000120110001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1000120110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1185334 + ... + 1845333.

Almost surely, 21000120110000 is an apocalyptic number.

1000120110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120110000 is an abundant number, since it is smaller than the sum of its proper divisors (2521904031504).

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

1000120110000 is a wasteful number, since it uses less digits than its factorization.

1000120110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030709 (or 3030688 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000120110000 its reverse (110210001), we get a palindrome (1000230320001).

The spelling of 1000120110000 in words is "one trillion, one hundred twenty million, one hundred ten thousand".