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11212131132 = 223453652931
BaseRepresentation
bin10100111000100101…
…11000101100111100
31001221101121021110000
422130102320230330
5140430301144012
65052322514300
7544563353646
oct123422705474
931841537400
1011212131132
114833a57084
12220ab05990
131098b6b527
1478512d896
154594e2ddc
hex29c4b8b3c

11212131132 has 60 divisors (see below), whose sum is σ = 29863803816. Its totient is φ = 3666854880.

The previous prime is 11212131131. The next prime is 11212131143. The reversal of 11212131132 is 23113121211.

11212131132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212131131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309294 + ... + 343637.

Almost surely, 211212131132 is an apocalyptic number.

11212131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11212131132 is an abundant number, since it is smaller than the sum of its proper divisors (18651672684).

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

11212131132 is a wasteful number, since it uses less digits than its factorization.

11212131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653000 (or 652989 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11212131132 its reverse (23113121211), we get a palindrome (34325252343).

The spelling of 11212131132 in words is "eleven billion, two hundred twelve million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 17172 652931 1305862 1958793 2611724 3917586 5876379 7835172 11752758 17629137 23505516 34605343 35258274 52887411 69210686 70516548 103816029 105774822 138421372 207632058 211549644 311448087 415264116 622896174 934344261 1245792348 1868688522 2803032783 3737377044 5606065566 11212131132