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133421114012334 = 2319431131243319373
BaseRepresentation
bin11110010101100010000110…
…000110110011001010101110
3122111101221012211120220002120
4132111202012012303022232
5114441432420141343314
61151432451424133410
740050233404050051
oct3625420606631256
9574357184526076
10133421114012334
113956a638640275
1212b69aa5167266
13595a731b46935
1424d388b488a98
1510658c91548a9
hex7958861b32ae

133421114012334 has 128 divisors (see below), whose sum is σ = 290000621053440. Its totient is φ = 40783573426176.

The previous prime is 133421114012321. The next prime is 133421114012413. The reversal of 133421114012334 is 433210411124331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133421114012295 and 133421114012304.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6886952272 + ... + 6886971644.

It is an arithmetic number, because the mean of its divisors is an integer number (2265629851980).

Almost surely, 2133421114012334 is an apocalyptic number.

133421114012334 is an abundant number, since it is smaller than the sum of its proper divisors (156579507041106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133421114012334 is a wasteful number, since it uses less digits than its factorization.

133421114012334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31986.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 133421114012334 its reverse (433210411124331), we get a palindrome (566631525136665).

The spelling of 133421114012334 in words is "one hundred thirty-three trillion, four hundred twenty-one billion, one hundred fourteen million, twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 19 38 43 57 86 113 114 129 226 258 339 678 817 1634 2147 2451 4294 4859 4902 6441 9718 12433 12882 14577 19373 24866 29154 37299 38746 58119 74598 92321 116238 184642 236227 276963 368087 472454 534619 553926 708681 736174 833039 1069238 1104261 1404929 1417362 1603857 1666078 2189149 2208522 2499117 2809858 3207714 4214787 4378298 4998234 6567447 8429574 10157761 13134894 15827741 20315522 26693651 30473283 31655482 41593831 47483223 53387302 60411947 60946566 80080953 83187662 94133407 94966446 120823894 124781493 160161906 181235841 188266814 240864509 249562986 282400221 362471682 481729018 564800442 722593527 1147826993 1445187054 1788534733 2295653986 3443480979 3577069466 4576425671 5365604199 6886961958 9152851342 10357173887 10731208398 13729277013 20714347774 27217689517 27458554026 31071521661 54435379034 62143043322 81653068551 163306137102 196786303853 393572607706 517136100823 590358911559 1034272201646 1170360649231 1180717823118 1551408302469 2340721298462 3102816604938 3511081947693 7022163895386 22236852335389 44473704670778 66710557006167 133421114012334