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13243322334231 = 3211223935081903
BaseRepresentation
bin1100000010110111001110…
…0001011111110000010111
31201220001022220101211001100
43000231303201133300113
53213434311004143411
644055522010401143
72534540605332003
oct300556341376027
951801286354040
1013243322334231
114246509228900
12159a789a301b3
13750abc45bb92
1433ada1a25703
1517e751108456
hexc0b7385fc17

13243322334231 has 36 divisors (see below), whose sum is σ = 21035149166304. Its totient is φ = 8022900325440.

The previous prime is 13243322334227. The next prime is 13243322334239.

13243322334231 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 3 + 3 + 223 + 3 + 423 + 1 = 666.

13243322334231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13243322334231 - 22 = 13243322334227 is a prime.

It is a super-2 number, since 2×132433223342312 (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 (13243322334239) 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 35 ways as a sum of consecutive naturals, for example, 65026 + ... + 5146928.

It is an arithmetic number, because the mean of its divisors is an integer number (584309699064).

Almost surely, 213243322334231 is an apocalyptic number.

13243322334231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13243322334231 is a deficient number, since it is larger than the sum of its proper divisors (7791826832073).

13243322334231 is a wasteful number, since it uses less digits than its factorization.

13243322334231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084324 (or 5084310 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 1324332 and 2334231, that added together give a palindrome (3658563).

The spelling of 13243322334231 in words is "thirteen trillion, two hundred forty-three billion, three hundred twenty-two million, three hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 2393 7179 21537 26323 78969 236907 289553 868659 2605977 5081903 15245709 45737127 55900933 167702799 503108397 614910263 1844730789 5534192367 12160993879 36482981637 109448944911 133770932669 401312798007 1203938394021 1471480259359 4414440778077 13243322334231