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220230121332 = 223134916594363
BaseRepresentation
bin1100110100011010111…
…1001111011101110100
3210001110012211022212110
43031012233033131310
512102012402340312
6245101115451020
721624336100404
oct3150657173564
9701405738773
10220230121332
1185443186841
1236822756a70
13179c9599380
14a932b8a804
155ade4e943c
hex3346bcf774

220230121332 has 96 divisors (see below), whose sum is σ = 555494607360. Its totient is φ = 67507009920.

The previous prime is 220230121327. The next prime is 220230121333. The reversal of 220230121332 is 233121032022.

It is a happy number.

It is a super-3 number, since 3×2202301213323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220230121299 and 220230121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220230121333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50474583 + ... + 50478945.

It is an arithmetic number, because the mean of its divisors is an integer number (5786402160).

Almost surely, 2220230121332 is an apocalyptic number.

It is an amenable number.

220230121332 is an abundant number, since it is smaller than the sum of its proper divisors (335264486028).

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

220230121332 is a wasteful number, since it uses less digits than its factorization.

220230121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220230121332 its reverse (233121032022), we get a palindrome (453351153354).

The spelling of 220230121332 in words is "two hundred twenty billion, two hundred thirty million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 491 659 982 1318 1473 1964 1977 2636 2946 3954 4363 5892 6383 7908 8567 8726 12766 13089 17134 17452 19149 25532 25701 26178 34268 38298 51402 52356 56719 76596 102804 113438 170157 226876 323569 340314 647138 680628 970707 1294276 1941414 2142233 2875217 3882828 4206397 4284466 5750434 6426699 8412794 8568932 8625651 11500868 12619191 12853398 16825588 17251302 25238382 25706796 27849029 34502604 37377821 50476764 55698058 74755642 83547087 111396116 112133463 149511284 167094174 224266926 334188348 448533852 1411731547 2823463094 4235194641 5646926188 8470389282 16940778564 18352510111 36705020222 55057530333 73410040444 110115060666 220230121332