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23331320212002 = 231117372341240073
BaseRepresentation
bin1010100111000001111110…
…00011011010101000100010
310001121110012211011102121220
411103200333003122220202
511024230020433241002
6121342132135355510
74625426602431645
oct523407703325042
9101543184142556
1023331320212002
117485837016940
122749923b22b96
13100319869b35a
145a9355ba3a5c
152a6d7b7467bc
hex15383f0daa22

23331320212002 has 128 divisors (see below), whose sum is σ = 55379701824768. Its totient is φ = 6471572889600.

The previous prime is 23331320211989. The next prime is 23331320212009. The reversal of 23331320212002 is 20021202313332.

It is not an unprimeable number, because it can be changed into a prime (23331320212009) 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, 97064238 + ... + 97304310.

It is an arithmetic number, because the mean of its divisors is an integer number (432653920506).

Almost surely, 223331320212002 is an apocalyptic number.

23331320212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23331320212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27689850912384).

23331320212002 is an abundant number, since it is smaller than the sum of its proper divisors (32048381612766).

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

23331320212002 is a wasteful number, since it uses less digits than its factorization.

23331320212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242484.

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

Adding to 23331320212002 its reverse (20021202313332), we get a palindrome (43352522525334).

The spelling of 23331320212002 in words is "twenty-three trillion, three hundred thirty-one billion, three hundred twenty million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2341 2442 3774 4682 6919 7023 13838 14046 20757 25751 39797 41514 51502 77253 79594 86617 119391 154506 173234 238782 240073 259851 437767 480146 519702 720219 875534 952787 1313301 1440438 1472489 1905574 2626602 2640803 2858361 2944978 4081241 4417467 5281606 5716722 7922409 8162482 8834934 8882701 12243723 15844818 16197379 17765402 24487446 26648103 32394758 44893651 48592137 53296206 89787302 97184274 97709711 134680953 151005917 195419422 269361906 293129133 302011834 453017751 562010893 586258266 906035502 1124021786 1661065087 1686032679 3322130174 3372065358 4983195261 6182119823 9554185181 9966390522 12364239646 18546359469 19108370362 20794403041 28662555543 37092718938 41588806082 57325111086 62383209123 105096036991 124766418246 210192073982 228738433451 315288110973 353504851697 457476866902 630576221946 686215300353 707009703394 1060514555091 1372430600706 2121029110182 3888553368667 7777106737334 11665660106001 23331320212002