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1132001113311 = 3217127448113001
BaseRepresentation
bin10000011110010000100…
…001100011010011011111
311000012220002210202111200
4100132100201203103133
5122021314241111221
62224011212250543
7144533020462665
oct20362041432337
94005802722450
101132001113311
113a7096132082
12163480a70a53
1382993917393
143cb095bac35
151e6a510c426
hex107908634df

1132001113311 has 48 divisors (see below), whose sum is σ = 1745451721728. Its totient is φ = 704471040000.

The previous prime is 1132001113283. The next prime is 1132001113319. The reversal of 1132001113311 is 1133111002311.

1132001113311 is a `hidden beast` number, since 1 + 1 + 320 + 0 + 1 + 11 + 331 + 1 = 666.

It is not a de Polignac number, because 1132001113311 - 217 = 1132000982239 is a prime.

It is a super-2 number, since 2×11320011133112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132001113319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87063811 + ... + 87076811.

It is an arithmetic number, because the mean of its divisors is an integer number (36363577536).

Almost surely, 21132001113311 is an apocalyptic number.

1132001113311 is a deficient number, since it is larger than the sum of its proper divisors (613450608417).

1132001113311 is a wasteful number, since it uses less digits than its factorization.

1132001113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1132001113311 its reverse (1133111002311), we get a palindrome (2265112115622).

The spelling of 1132001113311 in words is "one trillion, one hundred thirty-two billion, one million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 9 17 51 127 153 381 1143 2159 4481 6477 13001 13443 19431 39003 40329 76177 117009 221017 228531 569087 663051 685593 1651127 1707261 1989153 4953381 5121783 9674479 14860143 28069159 29023437 58257481 84207477 87070311 174772443 252622431 524317329 990377177 2971131531 7398700087 8913394593 22196100261 66588300783 125777901479 377333704437 1132001113311