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11213131201 = 1773101137653
BaseRepresentation
bin10100111000101101…
…01100110111000001
31001221110111002021121
422130112230313001
5140431030144301
65052400152241
7544605020416
oct123426546701
931843432247
1011213131201
11483457a488
12220b308681
13109912b79c
1478531010d
1545963e3a1
hex29c5acdc1

11213131201 has 32 divisors (see below), whose sum is σ = 12261997728. Its totient is φ = 10215014400.

The previous prime is 11213131187. The next prime is 11213131217. The reversal of 11213131201 is 10213131211.

It is a happy number.

11213131201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2556801 + 11210574400 = 1599^2 + 105880^2 .

It is not a de Polignac number, because 11213131201 - 25 = 11213131169 is a prime.

It is a super-2 number, since 2×112131312012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11213131901) 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 31 ways as a sum of consecutive naturals, for example, 17171391 + ... + 17172043.

It is an arithmetic number, because the mean of its divisors is an integer number (383187429).

Almost surely, 211213131201 is an apocalyptic number.

It is an amenable number.

11213131201 is a deficient number, since it is larger than the sum of its proper divisors (1048866527).

11213131201 is a wasteful number, since it uses less digits than its factorization.

11213131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11213131201 its reverse (10213131211), we get a palindrome (21426262412).

The spelling of 11213131201 in words is "eleven billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 17 73 101 137 653 1241 1717 2329 7373 10001 11101 13837 47669 65953 89461 125341 170017 235229 810373 1010101 1121201 1520837 4814569 6530653 9035561 17171717 81847673 111021101 153604537 659595953 11213131201