Search a number
-
+
331221330010032 = 243711162359551963
BaseRepresentation
bin100101101001111100111100…
…1101101111001111110110000
31121102202110010222112020100020
41023103321321231321332300
5321403212240440310112
63132240551200123440
7126523644221026440
oct11323717155717660
91542673128466306
10331221330010032
11965a01a4960930
1231194ab5306580
13112a806421b077
145bb12ab0c6120
152845c60c0b48c
hex12d3e79b79fb0

331221330010032 has 160 divisors (see below), whose sum is σ = 1066799280476160. Its totient is φ = 86030828540160.

The previous prime is 331221330010019. The next prime is 331221330010057. The reversal of 331221330010032 is 230010033122133.

It is a super-2 number, since 2×3312213300100322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331221330009984 and 331221330010011.

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, 599802883 + ... + 600354845.

It is an arithmetic number, because the mean of its divisors is an integer number (6667495502976).

Almost surely, 2331221330010032 is an apocalyptic number.

It is an amenable number.

331221330010032 is an abundant number, since it is smaller than the sum of its proper divisors (735577950466128).

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

331221330010032 is a wasteful number, since it uses less digits than its factorization.

331221330010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714351 (or 714345 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331221330010032 its reverse (230010033122133), we get a palindrome (561231363132165).

The spelling of 331221330010032 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, three hundred thirty million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 162359 324718 487077 551963 649436 974154 1103926 1136513 1298872 1655889 1785949 1948308 2207852 2273026 2597744 3311778 3409539 3571898 3863741 3896616 4415704 4546052 5357847 6071593 6623556 6819078 7143796 7727482 7793232 8831408 9092104 10715694 11591223 12143186 12501643 13247112 13638156 14287592 15454964 18184208 18214779 21431388 23182446 24286372 25003286 26494224 27276312 28575184 30909928 36429558 37504929 42501151 42862776 46364892 48572744 50006572 54552624 61819856 72859116 75009858 85002302 85725552 92729784 97145488 100013144 127503453 145718232 150019716 170004604 185459568 200026288 255006906 291436464 300039432 340009208 510013812 600078864 680018416 1020027624 2040055248 89616160717 179232321434 268848482151 358464642868 537696964302 627313125019 716929285736 985777767887 1075393928604 1254626250038 1433858571472 1881939375057 1971555535774 2150787857208 2509252500076 2957333303661 3763878750114 3943111071548 4301575714416 5018505000152 5914666607322 6900444375209 7527757500228 7886222143096 10037010000304 11829333214644 13800888750418 15055515000456 15772444286192 20701333125627 23658666429288 27601777500836 30111030000912 41402666251254 47317332858576 55203555001672 82805332502508 110407110003344 165610665005016 331221330010032