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11442124431 = 3217431739189
BaseRepresentation
bin10101010100000000…
…01111011010001111
31002112102101010221100
422222000033122033
5141413140440211
65131220234143
7553355311233
oct125200173217
932472333840
1011442124431
114941865491
122273b3b953
1311046c773a
147a78bc5c3
1546e7c4156
hex2aa00f68f

11442124431 has 24 divisors (see below), whose sum is σ = 17906700240. Its totient is φ = 7012406016.

The previous prime is 11442124429. The next prime is 11442124451. The reversal of 11442124431 is 13442124411.

11442124431 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 212 + 443 + 1 = 666.

It is not a de Polignac number, because 11442124431 - 21 = 11442124429 is a prime.

It is a super-2 number, since 2×114421244312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11442124395 and 11442124404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442124411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863016 + ... + 876173.

It is an arithmetic number, because the mean of its divisors is an integer number (746112510).

Almost surely, 211442124431 is an apocalyptic number.

11442124431 is a deficient number, since it is larger than the sum of its proper divisors (6464575809).

11442124431 is a wasteful number, since it uses less digits than its factorization.

11442124431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739255 (or 1739252 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11442124431 its reverse (13442124411), we get a palindrome (24884248842).

The spelling of 11442124431 in words is "eleven billion, four hundred forty-two million, one hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 17 43 51 129 153 387 731 2193 6579 1739189 5217567 15652701 29566213 74785127 88698639 224355381 266095917 673066143 1271347159 3814041477 11442124431