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23313132334404 = 2232114091259114329
BaseRepresentation
bin1010100110100000000101…
…11110001010110101000100
310001112201021021110111222200
411103100002332022311010
511023430243334200104
6121325523302154500
74624214103141513
oct523200276126504
9101481237414880
1023313132334404
117479053481240
1227462a8a22a30
13100155a5693c3
145a850c42c67a
152a6664b2ab39
hex153402f8ad44

23313132334404 has 144 divisors (see below), whose sum is σ = 64496662776000. Its totient is φ = 7041653591040.

The previous prime is 23313132334309. The next prime is 23313132334421. The reversal of 23313132334404 is 40443323131332.

23313132334404 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 13 + 233 + 4 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203855512 + ... + 203969840.

It is an arithmetic number, because the mean of its divisors is an integer number (447893491500).

Almost surely, 223313132334404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23313132334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32248331388000).

23313132334404 is an abundant number, since it is smaller than the sum of its proper divisors (41183530441596).

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

23313132334404 is a wasteful number, since it uses less digits than its factorization.

23313132334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116018 (or 116013 counting only the distinct ones).

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

Adding to 23313132334404 its reverse (40443323131332), we get a palindrome (63756455465736).

The spelling of 23313132334404 in words is "twenty-three trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 409 818 1227 1259 1636 2454 2518 3681 3777 4499 4908 5036 7362 7554 8998 11331 13497 13849 14724 15108 17996 22662 26994 27698 40491 41547 45324 53988 55396 80982 83094 114329 124641 161964 166188 228658 249282 342987 457316 498564 514931 685974 1028961 1029862 1257619 1371948 1544793 2057922 2059724 2515238 3089586 3772857 4115844 4634379 5030476 5664241 6179172 7545714 9268758 11318571 11328482 15091428 16992723 18537516 22637142 22656964 33985446 45274284 46760561 50978169 67970892 93521122 101956338 140281683 143940211 187042244 203912676 280563366 287880422 420845049 431820633 514366171 561126732 575760844 841690098 863641266 1028732342 1295461899 1543098513 1583342321 1683380196 1727282532 2057464684 2590923798 3086197026 3166684642 4629295539 4750026963 5181847596 6172394052 6333369284 9258591078 9500053926 14250080889 18517182156 19000107852 28500161778 57000323556 58871546299 117743092598 176614638897 235486185196 353229277794 529843916691 647587009289 706458555588 1059687833382 1295174018578 1942761027867 2119375666764 2590348037156 3885522055734 5828283083601 7771044111468 11656566167202 23313132334404