Search a number
-
+
12011132001 = 3113188113327
BaseRepresentation
bin10110010111110101…
…10101010001100001
31011000002001201120210
423023322311101201
5144044322211001
65303504124333
7603434636361
oct131372652141
934002051523
1012011132001
115103a75280
1223b26066a9
1311955616cb
1481d2b89a1
154a471ddd6
hex2cbeb5461

12011132001 has 32 divisors (see below), whose sum is σ = 18056134656. Its totient is φ = 7036128000.

The previous prime is 12011131997. The next prime is 12011132033. The reversal of 12011132001 is 10023111021.

It is not a de Polignac number, because 12011132001 - 22 = 12011131997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12011132041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894600 + ... + 907926.

It is an arithmetic number, because the mean of its divisors is an integer number (564254208).

Almost surely, 212011132001 is an apocalyptic number.

12011132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011132001 is a deficient number, since it is larger than the sum of its proper divisors (6045002655).

12011132001 is a wasteful number, since it uses less digits than its factorization.

12011132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12011132001 its reverse (10023111021), we get a palindrome (22034243022).

It can be divided in two parts, 120 and 11132001, that added together give a triangular number (11132121 = T4718).

The spelling of 12011132001 in words is "twelve billion, eleven million, one hundred thirty-two thousand, one".

Divisors: 1 3 11 31 33 93 341 881 1023 2643 9691 13327 27311 29073 39981 81933 146597 300421 413137 439791 901263 1239411 4544507 11741087 13633521 35223261 129151957 363973697 387455871 1091921091 4003710667 12011132001