Search a number
-
+
100001111000000 = 26567212591621
BaseRepresentation
bin10110101111001101010010…
…101100101100001111000000
3111010002000100100212011202212
4112233031102230230033000
5101101404233404000000
6552403513131201252
730030561516401300
oct2657152254541700
9433060310764685
10100001111000000
11299552621549a1
12b270a758a6228
1343a50ab3786b2
141a9a1185b5600
15b863d20c9c35
hex5af352b2c3c0

100001111000000 has 588 divisors, whose sum is σ = 288951166221480. Its totient is φ = 34237728000000.

The previous prime is 100001110999997. The next prime is 100001111000003. The reversal of 100001111000000 is 111100001.

It is an interprime number because it is at equal distance from previous prime (100001110999997) and next prime (100001111000003).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111000003) 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 83 ways as a sum of consecutive naturals, for example, 61690999190 + ... + 61691000810.

Almost surely, 2100001111000000 is an apocalyptic number.

100001111000000 is a gapful number since it is divisible by the number (10) 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 100001111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144475583110740).

100001111000000 is an abundant number, since it is smaller than the sum of its proper divisors (188950055221480).

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

100001111000000 is an frugal number, since it uses more digits than its factorization.

100001111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001111000000 its reverse (111100001), we get a palindrome (100001222100001).

The spelling of 100001111000000 in words is "one hundred trillion, one billion, one hundred eleven million", and thus it is an aban number.