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11324112261 = 3711235873631
BaseRepresentation
bin10101000101111100…
…00011110110000101
31002020012022111200020
422202332003312011
5141142433043021
65111403005353
7550423236360
oct124276036605
932205274606
1011324112261
114891191170
122240509859
1310b6118557
14795d5d0d7
154642627c6
hex2a2f83d85

11324112261 has 64 divisors (see below), whose sum is σ = 19681837056. Its totient is φ = 5615755200.

The previous prime is 11324112257. The next prime is 11324112281. The reversal of 11324112261 is 16221142311.

11324112261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11324112261 - 22 = 11324112257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324112281) 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 63 ways as a sum of consecutive naturals, for example, 3116916 + ... + 3120546.

It is an arithmetic number, because the mean of its divisors is an integer number (307528704).

Almost surely, 211324112261 is an apocalyptic number.

11324112261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11324112261 is a deficient number, since it is larger than the sum of its proper divisors (8357724795).

11324112261 is a wasteful number, since it uses less digits than its factorization.

11324112261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262.

The product of its digits is 576, while the sum is 24.

Adding to 11324112261 its reverse (16221142311), we get a palindrome (27545254572).

The spelling of 11324112261 in words is "eleven billion, three hundred twenty-four million, one hundred twelve thousand, two hundred sixty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 587 759 1761 1771 3631 4109 5313 6457 10893 12327 13501 19371 25417 39941 40503 45199 76251 83513 94507 119823 135597 148511 250539 279587 283521 445533 584591 838761 918643 1039577 1753773 2131397 2755929 3118731 6394191 6430501 14919779 19291503 23445367 44759337 49022131 70336101 147066393 164117569 343154917 492352707 539243441 1029464751 1617730323 3774704087 11324112261