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1330223231022 = 237259123162297
BaseRepresentation
bin10011010110110111011…
…110111011000000101110
311201011112112200122222220
4103112313132323000232
5133243244121343042
62455032432220210
7165051112621500
oct23266736730056
94634475618886
101330223231022
11473165375a74
1219598109a666
13985937bb7aa
1448551501d70
15249074468ec
hex135b77bb02e

1330223231022 has 96 divisors (see below), whose sum is σ = 3149866621440. Its totient is φ = 373312517760.

The previous prime is 1330223231003. The next prime is 1330223231027. The reversal of 1330223231022 is 2201323220331.

It is a junction number, because it is equal to n+sod(n) for n = 1330223230983 and 1330223231001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330223231027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21321778 + ... + 21384074.

It is an arithmetic number, because the mean of its divisors is an integer number (32811110640).

Almost surely, 21330223231022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330223231022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574933310720).

1330223231022 is an abundant number, since it is smaller than the sum of its proper divisors (1819643390418).

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

1330223231022 is a wasteful number, since it uses less digits than its factorization.

1330223231022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63606 (or 63599 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1330223231022 its reverse (2201323220331), we get a palindrome (3531546451353).

The spelling of 1330223231022 in words is "one trillion, three hundred thirty billion, two hundred twenty-three million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1231 1239 2462 2478 2891 3693 5782 7386 8617 8673 17234 17346 25851 51702 60319 62297 72629 120638 124594 145258 180957 186891 217887 361914 373782 435774 436079 508403 872158 1016806 1308237 1525209 2616474 3050418 3052553 3558821 3675523 6105106 7117642 7351046 9157659 10676463 11026569 18315318 21352926 22053138 25728661 51457322 76687607 77185983 153375214 154371966 180100627 230062821 360201254 460125642 536813249 540301881 1073626498 1080603762 1610439747 3220879494 3757692743 4524568813 7515385486 9049137626 11273078229 13573706439 22546156458 27147412878 31671981691 63343963382 95015945073 190031890146 221703871837 443407743674 665111615511 1330223231022