Search a number
-
+
1109091819000 = 233531143781601
BaseRepresentation
bin10000001000111011000…
…001100001110111111000
310221000202111221000201210
4100020323001201313320
5121132410001202000
62205302034443120
7143062220625324
oct20107301416770
93830674830653
101109091819000
113983aa4661a0
1215ab487334a0
1380782596429
143b974b80984
151dcb3c68350
hex1023b061df8

1109091819000 has 256 divisors, whose sum is σ = 3862739612160. Its totient is φ = 262617600000.

The previous prime is 1109091818999. The next prime is 1109091819037. The reversal of 1109091819000 is 9181909011.

It is a super-2 number, since 2×11090918190002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1109091819000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028200 + ... + 1809800.

It is an arithmetic number, because the mean of its divisors is an integer number (15088826610).

Almost surely, 21109091819000 is an apocalyptic number.

1109091819000 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 1109091819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931369806080).

1109091819000 is an abundant number, since it is smaller than the sum of its proper divisors (2753647793160).

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

1109091819000 is a wasteful number, since it uses less digits than its factorization.

1109091819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781679 (or 781665 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 39.

The spelling of 1109091819000 in words is "one trillion, one hundred nine billion, ninety-one million, eight hundred nineteen thousand".