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3133121310330 = 23511157467312941
BaseRepresentation
bin101101100101111100100…
…101010010111001111010
3102002112010121111111220020
4231211330211102321322
5402313113023412310
610355200331111310
7442234444503414
oct55457445227172
912075117444806
103133121310330
11aa8827332520
12427277ba2536
131995b528140b
14ab902b459b4
1556776610170
hex2d97c952e7a

3133121310330 has 128 divisors (see below), whose sum is σ = 8257734832896. Its totient is φ = 754486886400.

The previous prime is 3133121310323. The next prime is 3133121310337. The reversal of 3133121310330 is 330131213313.

It is an interprime number because it is at equal distance from previous prime (3133121310323) and next prime (3133121310337).

It is a self number, because there is not a number n which added to its sum of digits gives 3133121310330.

It is not an unprimeable number, because it can be changed into a prime (3133121310337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242101660 + ... + 242114600.

It is an arithmetic number, because the mean of its divisors is an integer number (64513553382).

Almost surely, 23133121310330 is an apocalyptic number.

3133121310330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133121310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128867416448).

3133121310330 is an abundant number, since it is smaller than the sum of its proper divisors (5124613522566).

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

3133121310330 is a wasteful number, since it uses less digits than its factorization.

3133121310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17792.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 3133121310330 its reverse (330131213313), we get a palindrome (3463252523643).

The spelling of 3133121310330 in words is "three trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 314 330 471 785 942 1570 1727 2355 3454 4673 4710 5181 8635 9346 10362 12941 14019 17270 23365 25882 25905 28038 38823 46730 51403 51810 64705 70095 77646 102806 129410 140190 142351 154209 194115 257015 284702 308418 388230 427053 514030 711755 733661 771045 854106 1423510 1467322 1542090 2031737 2135265 2200983 3668305 4063474 4270530 4401966 6095211 7336610 8070271 10158685 11004915 12190422 16140542 20317370 22009830 22349107 24210813 30476055 40351355 44698214 48421626 60473293 60952110 67047321 80702710 111745535 120946586 121054065 134094642 181419879 223491070 242108130 302366465 335236605 362839758 604732930 665206223 670473210 907099395 1330412446 1814198790 1995618669 3326031115 3991237338 6652062230 9494307001 9978093345 18988614002 19956186690 28482921003 47471535005 56965842006 94943070010 104437377011 142414605015 208874754022 284829210030 313312131033 522186885055 626624262066 1044373770110 1566560655165 3133121310330