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133411224302213 = 111319101217926891
BaseRepresentation
bin11110010101011000111000…
…101000100011001010000101
3122111100222200121100120020112
4132111120320220203022011
5114441302141410132323
61151424134221242405
740046433335644664
oct3625307050431205
9574328617316215
10133411224302213
1139566423105720
1212b67ba5103405
135959816c63760
1424d31cdc34ddb
1510654eacd0178
hex795638a23285

133411224302213 has 96 divisors (see below), whose sum is σ = 167570893324800. Its totient is φ = 104420538720000.

The previous prime is 133411224302179. The next prime is 133411224302261. The reversal of 133411224302213 is 312203422114331.

It is not a de Polignac number, because 133411224302213 - 212 = 133411224298117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133411224302213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133411224302263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4961171498 + ... + 4961198388.

It is an arithmetic number, because the mean of its divisors is an integer number (1745530138800).

Almost surely, 2133411224302213 is an apocalyptic number.

133411224302213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133411224302213 is a deficient number, since it is larger than the sum of its proper divisors (34159669022587).

133411224302213 is a wasteful number, since it uses less digits than its factorization.

133411224302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27315 (or 27214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 133411224302213 its reverse (312203422114331), we get a palindrome (445614646416544).

The spelling of 133411224302213 in words is "one hundred thirty-three trillion, four hundred eleven billion, two hundred twenty-four million, three hundred two thousand, two hundred thirteen".

Divisors: 1 11 13 19 101 143 179 209 247 1111 1313 1919 1969 2327 2717 3401 10201 14443 18079 21109 24947 25597 26891 37411 44213 112211 132613 193819 198869 235027 274417 295801 343501 349583 486343 510929 1458743 1825979 2132009 2519647 2585297 2715991 3778511 3845413 4465513 4813489 5620219 6642077 20085769 23737727 27716117 29875901 34693601 35307883 49120643 51603829 52948379 62575357 73062847 91456291 261114997 274315091 381629611 388386713 451016813 486162389 567642119 670849777 688328927 1006019201 1188931783 3017466001 3566096183 4961184943 5211986729 5347786279 6320111057 7379347547 9237085391 13078249613 39227058013 49102401289 57331854019 67755827477 69521221627 101607939301 120082110083 540126414179 638331216757 745314102247 932945624491 1320903210913 7021643384327 10262401869401 12128293118383 133411224302213