Search a number
-
+
1132205511150 = 2335272937111659
BaseRepresentation
bin10000011110011100101…
…101010001000111101110
311000020102100102020122000
4100132130231101013232
5122022224102324100
62224043353233130
7144541052025030
oct20363455210756
94006370366560
101132205511150
113a719054920a
121635194027a6
13829c708134c
143cb287c5c50
151e6b8034900
hex1079cb511ee

1132205511150 has 384 divisors, whose sum is σ = 3788221824000. Its totient is φ = 243110730240.

The previous prime is 1132205511137. The next prime is 1132205511169. The reversal of 1132205511150 is 511155022311.

It is a happy number.

1132205511150 is a `hidden beast` number, since 1 + 1 + 32 + 20 + 551 + 11 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10084021 + ... + 10195679.

It is an arithmetic number, because the mean of its divisors is an integer number (9865161000).

Almost surely, 21132205511150 is an apocalyptic number.

1132205511150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132205511150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894110912000).

1132205511150 is an abundant number, since it is smaller than the sum of its proper divisors (2656016312850).

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

1132205511150 is a wasteful number, since it uses less digits than its factorization.

1132205511150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111753 (or 111742 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 1132205511150 in words is "one trillion, one hundred thirty-two billion, two hundred five million, five hundred eleven thousand, one hundred fifty".