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331230212231000 = 23531493821926993
BaseRepresentation
bin100101101010000001000101…
…1001000111000111101011000
31121102210022001222222210220012
41023110002023020320331120
5321403333433312343000
63132245020413021052
7126524410303456415
oct11324021310707530
91542708058883805
10331230212231000
11965a3a42717a15
1231196773a84788
13112a8b4b471314
145bb18b09dd10c
1528460d08c0735
hex12d408b238f58

331230212231000 has 128 divisors (see below), whose sum is σ = 775720941652800. Its totient is φ = 132382328780800.

The previous prime is 331230212230997. The next prime is 331230212231099. The reversal of 331230212231000 is 132212032133.

It is a super-2 number, since 2×3312302122310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12270953504 + ... + 12270980496.

Almost surely, 2331230212231000 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 331230212231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387860470826400).

331230212231000 is an abundant number, since it is smaller than the sum of its proper divisors (444490729421800).

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

331230212231000 is a wasteful number, since it uses less digits than its factorization.

331230212231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36726 (or 36712 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 331230212231000 its reverse (132212032133), we get a palindrome (331362424263133).

The spelling of 331230212231000 in words is "three hundred thirty-one trillion, two hundred thirty billion, two hundred twelve million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1493 2986 5972 7465 8219 11944 14930 16438 26993 29860 32876 37325 41095 53986 59720 65752 74650 82190 107972 134965 149300 164380 186625 205475 215944 269930 298600 328760 373250 410950 539860 674825 746500 821900 1027375 1079720 1349650 1493000 1643800 2054750 2699300 3374125 4109500 5398600 6748250 8219000 12270967 13496500 24541934 26993000 40300549 49083868 61354835 80601098 98167736 122709670 161202196 201502745 221855467 245419340 306774175 322404392 403005490 443710934 490838680 613548350 806010980 887421868 1007513725 1109277335 1227096700 1533870875 1612021960 1774843736 2015027450 2218554670 2454193400 3067741750 4030054900 4437109340 5037568625 5546386675 6135483500 8060109800 8874218680 10075137250 11092773350 12270967000 20150274500 22185546700 27731933375 40300549000 44371093400 55463866750 110927733500 221855467000 331230212231 662460424462 1324920848924 1656151061155 2649841697848 3312302122310 6624604244620 8280755305775 13249208489240 16561510611550 33123021223100 41403776528875 66246042446200 82807553057750 165615106115500 331230212231000