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11442123231 = 372117076143
BaseRepresentation
bin10101010100000000…
…01111000111011111
31002112102101002021220
422222000033013133
5141413140420411
65131220224423
7553355304600
oct125200170737
932472332256
1011442123231
1149418645a0
122273b3b113
1311046c7026
147a78bbda7
1546e7c3b06
hex2aa00f1df

11442123231 has 24 divisors (see below), whose sum is σ = 19360329984. Its totient is φ = 5943959280.

The previous prime is 11442123197. The next prime is 11442123269. The reversal of 11442123231 is 13232124411.

11442123231 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 11442123231 - 27 = 11442123103 is a prime.

It is a super-2 number, since 2×114421232312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442121231) 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 23 ways as a sum of consecutive naturals, for example, 3536455 + ... + 3539688.

It is an arithmetic number, because the mean of its divisors is an integer number (806680416).

Almost surely, 211442123231 is an apocalyptic number.

11442123231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11442123231 is a deficient number, since it is larger than the sum of its proper divisors (7918206753).

11442123231 is a wasteful number, since it uses less digits than its factorization.

11442123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076171 (or 7076164 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11442123231 its reverse (13232124411), we get a palindrome (24674247642).

The spelling of 11442123231 in words is "eleven billion, four hundred forty-two million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 7076143 21228429 49533001 77837573 148599003 233512719 346731007 544863011 1040193021 1634589033 3814041077 11442123231