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12233003331330 = 2325537873258667
BaseRepresentation
bin1011001000000011011111…
…0100010110111100000010
31121022110112000221201201200
42302000313310112330002
53100411142323100310
642003433020042030
72401543140444255
oct262006764267402
947273460851650
1012233003331330
113996a95515341
121456a08093316
136a974b383782
1430411ad3b09c
1516331d9be9c0
hexb2037d16f02

12233003331330 has 96 divisors (see below), whose sum is σ = 32447104732224. Its totient is φ = 3196516722048.

The previous prime is 12233003331319. The next prime is 12233003331361. The reversal of 12233003331330 is 3313330033221.

12233003331330 is a `hidden beast` number, since 1 + 2 + 23 + 300 + 3 + 3 + 3 + 1 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12233003331294 and 12233003331303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2124657 + ... + 5383323.

It is an arithmetic number, because the mean of its divisors is an integer number (337990674294).

Almost surely, 212233003331330 is an apocalyptic number.

12233003331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233003331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223552366112).

12233003331330 is an abundant number, since it is smaller than the sum of its proper divisors (20214101400894).

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

12233003331330 is a wasteful number, since it uses less digits than its factorization.

12233003331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259520 (or 3259517 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 12233003331330 its reverse (3313330033221), we get a palindrome (15546333364551).

The spelling of 12233003331330 in words is "twelve trillion, two hundred thirty-three billion, three million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 787 795 954 1574 1590 2361 2385 3935 4722 4770 7083 7870 11805 14166 23610 35415 41711 70830 83422 125133 208555 250266 375399 417110 625665 750798 1251330 1876995 3258667 3753990 6517334 9776001 16293335 19552002 29328003 32586670 48880005 58656006 97760010 146640015 172709351 293280030 345418702 518128053 863546755 1036256106 1554384159 1727093510 2564570929 2590640265 3108768318 5129141858 5181280530 7693712787 7771920795 12822854645 15387425574 15543841590 23081138361 25645709290 38468563935 46162276722 76937127870 115405691805 135922259237 230811383610 271844518474 407766777711 679611296185 815533555422 1223300333133 1359222592370 2038833888555 2446600666266 4077667777110 6116501665665 12233003331330