Search a number
-
+
132213003311103 = 311131916220464153
BaseRepresentation
bin11110000011111100111101…
…000110001101011111111111
3122100010102212112011110200020
4132003330331012031133333
5114312134212321423403
61145105452031103223
736564034321401531
oct3603747506153777
9570112775143606
10132213003311103
1139144246646310
12129b3923371b13
1358a082c0c9540
142491201abb851
15104426c3a3453
hex783f3d18d7ff

132213003311103 has 32 divisors (see below), whose sum is σ = 218003038229760. Its totient is φ = 70072405136640.

The previous prime is 132213003311087. The next prime is 132213003311117. The reversal of 132213003311103 is 301113300312231.

It is not a de Polignac number, because 132213003311103 - 24 = 132213003311087 is a prime.

It is a super-3 number, since 3×1322130033111033 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213003311003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8110223926 + ... + 8110240227.

It is an arithmetic number, because the mean of its divisors is an integer number (6812594944680).

Almost surely, 2132213003311103 is an apocalyptic number.

132213003311103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132213003311103 is a deficient number, since it is larger than the sum of its proper divisors (85790034918657).

132213003311103 is a wasteful number, since it uses less digits than its factorization.

132213003311103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16220464199.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132213003311103 its reverse (301113300312231), we get a palindrome (433326303623334).

The spelling of 132213003311103 in words is "one hundred thirty-two trillion, two hundred thirteen billion, three million, three hundred eleven thousand, one hundred three".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 429 627 741 2717 8151 16220464153 48661392459 178425105683 210866033989 308188818907 535275317049 632598101967 924566456721 2319526373879 3390077007977 4006454645791 6958579121637 10170231023931 12019363937373 44071001103701 132213003311103