Search a number
-
+
1100000111000 = 235374127114143
BaseRepresentation
bin10000000000011101000…
…111011010100110011000
310220011021220021101222212
4100000131013122212120
5121010300012023000
62201155535534252
7142321012446110
oct20003507324630
93804256241885
101100000111000
1139456442742a
1215922b98a388
137c963b1695b
143b3514d6040
151d9309c3c35
hex1001d1da998

1100000111000 has 256 divisors, whose sum is σ = 3024797368320. Its totient is φ = 366560640000.

The previous prime is 1100000110987. The next prime is 1100000111017. The reversal of 1100000111000 is 1110000011.

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

It is a zygodrome in base 10.

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, 77769929 + ... + 77784071.

It is an arithmetic number, because the mean of its divisors is an integer number (11815614720).

Almost surely, 21100000111000 is an apocalyptic number.

1100000111000 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 1100000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512398684160).

1100000111000 is an abundant number, since it is smaller than the sum of its proper divisors (1924797257320).

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

1100000111000 is a wasteful number, since it uses less digits than its factorization.

1100000111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14469 counting only the distinct ones).

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

Adding to 1100000111000 its reverse (1110000011), we get a palindrome (1101110111011).

The spelling of 1100000111000 in words is "one trillion, one hundred billion, one hundred eleven thousand".