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13334233243331 = 71113191223573263
BaseRepresentation
bin1100001000001001111000…
…1111000101111011000011
31202012201222122022111112202
43002002132033011323003
53221432002202241311
644205355010543415
72544236505321140
oct302023617057303
952181878274482
1013334233243331
114281020052430
1215b431b897b6b
13759549bc7110
143415478bd3c7
15181cc2418e3b
hexc209e3c5ec3

13334233243331 has 64 divisors (see below), whose sum is σ = 18861027655680. Its totient is φ = 9078819085440.

The previous prime is 13334233243277. The next prime is 13334233243381.

13334233243331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13334233243331 - 238 = 13059355336387 is a prime.

It is a super-2 number, since 2×133342332433312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13334233243381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22973606 + ... + 23546868.

It is an arithmetic number, because the mean of its divisors is an integer number (294703557120).

Almost surely, 213334233243331 is an apocalyptic number.

13334233243331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13334233243331 is a deficient number, since it is larger than the sum of its proper divisors (5526794412349).

13334233243331 is a wasteful number, since it uses less digits than its factorization.

13334233243331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574536.

The product of its digits is 419904, while the sum is 38.

It can be divided in two parts, 1333423 and 3243331, that added together give a palindrome (4576754).

The spelling of 13334233243331 in words is "thirteen trillion, three hundred thirty-four billion, two hundred thirty-three million, two hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1223 1463 1729 2717 8561 13453 15899 19019 23237 94171 111293 162659 174889 255607 302081 573263 1224223 1789249 2114567 3322891 4012841 6305893 7452419 10891997 23260237 44141251 52166933 76243979 81976609 119811967 141595961 573836263 701100649 838683769 991171727 1557555571 4907704543 7712107139 9114308437 10902888997 13320912331 53984749973 63800159059 93246386317 100257392807 146530035641 173171860303 701801749649 1025710249487 1212203022121 1904890463333 13334233243331