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133433014211343 = 3472114765026691
BaseRepresentation
bin11110010101101101001011…
…011010011101001100001111
3122111110001221011220122020000
4132111231023122131030033
5114442131303114230333
61151442140330455343
740051134324060600
oct3625551332351417
9574401834818200
10133433014211343
1139574694a26990
1212b70266594553
13595b8aa407402
1424d4299b27da7
151065d73c5e713
hex795b4b69d30f

133433014211343 has 120 divisors (see below), whose sum is σ = 258329718561024. Its totient is φ = 67841045143200.

The previous prime is 133433014211333. The next prime is 133433014211351. The reversal of 133433014211343 is 343112410334331.

133433014211343 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 3 + 301 + 4 + 2 + 1 + 1 + 343 = 666.

It is not a de Polignac number, because 133433014211343 - 24 = 133433014211327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133433014211298 and 133433014211307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133433014211333) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30461373 + ... + 34565318.

Almost surely, 2133433014211343 is an apocalyptic number.

133433014211343 is a deficient number, since it is larger than the sum of its proper divisors (124896704349681).

133433014211343 is a wasteful number, since it uses less digits than its factorization.

133433014211343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65026775 (or 65026759 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 133433014211343 its reverse (343112410334331), we get a palindrome (476545424545674).

The spelling of 133433014211343 in words is "one hundred thirty-three trillion, four hundred thirty-three billion, fourteen million, two hundred eleven thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 21 27 33 47 49 63 77 81 99 141 147 189 231 297 329 423 441 517 539 567 693 891 987 1269 1323 1551 1617 2079 2303 2961 3619 3807 3969 4653 4851 6237 6909 8883 10857 13959 14553 20727 25333 26649 32571 41877 43659 62181 75999 97713 186543 227997 293139 683991 2051973 65026691 195080073 455186837 585240219 715293601 1365560511 1755720657 2145880803 3056254477 3186307859 4096681533 5007055207 5267161971 6437642409 9168763431 9558923577 12290044599 15021165621 19312927227 21393781339 27506290293 28676770731 33618799247 35049386449 36870133797 45063496863 57938781681 64181344017 82518870879 86030312193 100856397741 105148159347 135190490589 149756469373 192544032051 235331594729 247556612637 258090936579 302569193223 315444478041 405571471767 449269408119 577632096153 705994784187 907707579669 946333434123 1347808224357 1647321163103 1732896288459 2117984352561 2723122739007 2839000302369 4043424673071 4941963489309 6353953057683 12130274019213 14825890467927 19061859173049 44477671403781 133433014211343