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13224242031 = 3711134403677
BaseRepresentation
bin11000101000011100…
…11110101101101111
31021010121202002200220
430110032132231233
5204040401221111
610024121222423
7645465126330
oct142416365557
937117662626
1013224242031
115676815850
122690931a13
1313299961b0
148d645c287
15525e98e06
hex31439eb6f

13224242031 has 32 divisors (see below), whose sum is σ = 23674172928. Its totient is φ = 6341293440.

The previous prime is 13224242023. The next prime is 13224242069. The reversal of 13224242031 is 13024242231.

It is a happy number.

It is not a de Polignac number, because 13224242031 - 23 = 13224242023 is a prime.

It is a super-2 number, since 2×132242420312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13224241992 and 13224242010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224242531) 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, 2198836 + ... + 2204841.

It is an arithmetic number, because the mean of its divisors is an integer number (739817904).

Almost surely, 213224242031 is an apocalyptic number.

13224242031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13224242031 is a deficient number, since it is larger than the sum of its proper divisors (10449930897).

13224242031 is a wasteful number, since it uses less digits than its factorization.

13224242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403711.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13224242031 its reverse (13024242231), we get a palindrome (26248484262).

It can be divided in two parts, 13224 and 242031, that added together give a triangular number (255255 = T714).

The spelling of 13224242031 in words is "thirteen billion, two hundred twenty-four million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 4403677 13211031 30825739 48440447 57247801 92477217 145321341 171743403 339083129 400734607 629725811 1017249387 1202203821 1889177433 4408080677 13224242031