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110132234202133 = 11134617673217727
BaseRepresentation
bin11001000010101000101000…
…101100101010110000010101
3112102221112112202112020220001
4121002220220230222300111
5103413401303423432013
61030122014441411301
732124535300633003
oct3102505054526025
9472845482466801
10110132234202133
113210090007a470
1210428446499b31
13495b56acc1190
141d2a60002ba73
15caebd379bddd
hex642a28b2ac15

110132234202133 has 32 divisors (see below), whose sum is σ = 129684280061952. Its totient is φ = 92205741734400.

The previous prime is 110132234202103. The next prime is 110132234202139. The reversal of 110132234202133 is 331202432231011.

It is a cyclic number.

It is not a de Polignac number, because 110132234202133 - 217 = 110132234071061 is a prime.

It is a super-2 number, since 2×1101322342021332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110132234202139) 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 31 ways as a sum of consecutive naturals, for example, 505718316 + ... + 505936042.

It is an arithmetic number, because the mean of its divisors is an integer number (4052633751936).

Almost surely, 2110132234202133 is an apocalyptic number.

110132234202133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110132234202133 is a deficient number, since it is larger than the sum of its proper divisors (19552045859819).

110132234202133 is a wasteful number, since it uses less digits than its factorization.

110132234202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225885.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 110132234202133 its reverse (331202432231011), we get a palindrome (441334666433144).

The spelling of 110132234202133 in words is "one hundred ten trillion, one hundred thirty-two billion, two hundred thirty-four million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 11 13 143 461 5071 5993 7673 65923 84403 99749 217727 1097239 2394997 2830451 3537253 31134961 38909783 45984289 100372147 505827179 1104093617 1304837911 1670619271 14353217021 18376811981 21718050523 238898555753 770155483931 8471710323241 10012021291103 110132234202133