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220132131322233 = 313411272113513017
BaseRepresentation
bin110010000011010110000001…
…011111011011100101111001
31001212102102111201111012022110
4302003112001133123211321
5212323121101104302413
62100103145520242533
764240010266134264
oct6203260137334571
91055372451435273
10220132131322233
1164160570331449
12208330b9470449
1395aa4a8b81050
143c5064842bcdb
151a6b21de3b8c3
hexc835817db979

220132131322233 has 64 divisors (see below), whose sum is σ = 326501268774912. Its totient is φ = 131058925240320.

The previous prime is 220132131322211. The next prime is 220132131322289. The reversal of 220132131322233 is 332223131231022.

It is not a de Polignac number, because 220132131322233 - 234 = 220114951453049 is a prime.

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 220132131322233.

It is not an unprimeable number, because it can be changed into a prime (220132131322133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428836741 + ... + 429349757.

It is an arithmetic number, because the mean of its divisors is an integer number (5101582324608).

Almost surely, 2220132131322233 is an apocalyptic number.

It is an amenable number.

220132131322233 is a deficient number, since it is larger than the sum of its proper divisors (106369137452679).

220132131322233 is a wasteful number, since it uses less digits than its factorization.

220132131322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515314.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 220132131322233 its reverse (332223131231022), we get a palindrome (552355262553255).

The spelling of 220132131322233 in words is "two hundred twenty trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 13 39 41 123 127 381 533 1599 1651 2113 4953 5207 6339 15621 27469 67691 82407 86633 203073 259899 268351 513017 805053 1126229 1539051 3378687 3488563 6669221 10465689 11002391 20007663 21033697 33007173 63101091 65153159 143031083 195459477 273438061 429093249 820314183 846991067 1084004921 2540973201 2671279519 3252014763 8013838557 14092063973 34726633747 42276191919 44444201761 104179901241 133332605283 137668624967 413005874901 577774622893 1733323868679 1789692124571 5369076373713 5644413623647 16933240870941 73377377107411 220132131322233