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100001110101000 = 233531011811823407
BaseRepresentation
bin10110101111001101010010…
…101001010000110000001000
3111010002000100022011111120120
4112233031102221100300020
5101101404233141213000
6552403513100023240
730030561505635303
oct2657152251206010
9433060308144516
10100001110101000
11299552616a0519
12b270a75531b20
1343a50ab122444
141a9a11841db3a
15b863d1e9d6a0
hex5af352a50c08

100001110101000 has 256 divisors, whose sum is σ = 316833623608320. Its totient is φ = 26257046400000.

The previous prime is 100001110100987. The next prime is 100001110101001. The reversal of 100001110101000 is 101011100001.

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 a self number, because there is not a number n which added to its sum of digits gives 100001110101000.

It is not an unprimeable number, because it can be changed into a prime (100001110101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53931297 + ... + 55754703.

It is an arithmetic number, because the mean of its divisors is an integer number (1237631342220).

Almost surely, 2100001110101000 is an apocalyptic number.

100001110101000 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 100001110101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158416811804160).

100001110101000 is an abundant number, since it is smaller than the sum of its proper divisors (216832513507320).

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

100001110101000 is a wasteful number, since it uses less digits than its factorization.

100001110101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823713 (or 1823699 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001110101000 its reverse (101011100001), we get a palindrome (100102121201001).

Subtracting from 100001110101000 its reverse (101011100001), we obtain a palindrome (99900099000999).

The spelling of 100001110101000 in words is "one hundred trillion, one billion, one hundred ten million, one hundred one thousand".