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13243433434231 = 7211131890029033
BaseRepresentation
bin1100000010110111101000…
…1001010011110001110111
31201220001121122110021121011
43000231322021103301313
53213440022424343411
644055541015533051
72534543424554500
oct300557211236167
951801548407534
1013243433434231
114246565a10990
12159a7bb08a187
13750b0948ab20
1433adb26a5ba7
1517e75ac51c21
hexc0b7a253c77

13243433434231 has 24 divisors (see below), whose sum is σ = 18098918029584. Its totient is φ = 9525746321280.

The previous prime is 13243433434211. The next prime is 13243433434349.

13243433434231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13243433434231 - 211 = 13243433432183 is a prime.

It is a super-2 number, since 2×132434334342312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243433434201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945007510 + ... + 945021523.

It is an arithmetic number, because the mean of its divisors is an integer number (754121584566).

Almost surely, 213243433434231 is an apocalyptic number.

13243433434231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13243433434231 is a deficient number, since it is larger than the sum of its proper divisors (4855484595353).

13243433434231 is a wasteful number, since it uses less digits than its factorization.

13243433434231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890029071 (or 1890029064 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 1324343 and 3434231, that added together give a palindrome (4758574).

The spelling of 13243433434231 in words is "thirteen trillion, two hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 1890029033 13230203231 20790319363 24570377429 92611422617 145532235541 171992642003 270274151719 1018725648787 1203948494021 1891919062033 13243433434231