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23261340456330 = 235171133797106303
BaseRepresentation
bin1010100100111111100111…
…11011110101010110001010
310001100202120210220111202020
411102133303323311112022
511022103211124100310
6121250040130345310
74620401462346444
oct522376373652612
9101322523814666
1023261340456330
1174590962a1719
122738253a2b236
13cc96c54c13c2
145a5bd7b3b494
152a5132cd4170
hex1527f3ef558a

23261340456330 has 128 divisors (see below), whose sum is σ = 59650545512448. Its totient is φ = 5784897011712.

The previous prime is 23261340456329. The next prime is 23261340456413. The reversal of 23261340456330 is 3365404316232.

It is a super-3 number, since 3×232613404563303 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218767959 + ... + 218874261.

It is an arithmetic number, because the mean of its divisors is an integer number (466019886816).

Almost surely, 223261340456330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23261340456330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29825272756224).

23261340456330 is an abundant number, since it is smaller than the sum of its proper divisors (36389205056118).

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

23261340456330 is a wasteful number, since it uses less digits than its factorization.

23261340456330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110240.

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 23261340456330 in words is "twenty-three trillion, two hundred sixty-one billion, three hundred forty million, four hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 226 255 339 510 565 678 1130 1695 1921 3390 3797 3842 5763 7594 9605 11391 11526 18985 19210 22782 28815 37970 56955 57630 64549 106303 113910 129098 193647 212606 318909 322745 387294 429061 531515 637818 645490 858122 968235 1063030 1287183 1594545 1807151 1936470 2145305 2574366 3189090 3614302 4290610 5421453 6435915 7294037 9035755 10842906 12012239 12871830 14588074 18071510 21882111 24024478 27107265 36036717 36470185 43764222 54214530 60061195 72073434 72940370 109410555 120122390 180183585 204208063 218821110 360367170 403632491 408416126 612624189 807264982 1021040315 1210897473 1225248378 2018162455 2042080630 2421794946 3063120945 4036324910 6054487365 6126241890 6861752347 12108974730 13723504694 20585257041 34308761735 41170514082 45610471483 68617523470 91220942966 102926285205 136831414449 205852570410 228052357415 273662828898 456104714830 684157072245 775378015211 1368314144490 1550756030422 2326134045633 3876890076055 4652268091266 7753780152110 11630670228165 23261340456330