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2123322313332 = 2231123197486313
BaseRepresentation
bin11110111001011111110…
…111110100101001110100
321111222122222112110120110
4132321133313310221310
5234242031003011312
64303235114103020
7306255622605123
oct36713767645164
97458588473513
102123322313332
11749550100100
122a362041aa70
131252c7b440cc
1474aab13daba
153a37499243c
hex1ee5fdf4a74

2123322313332 has 144 divisors (see below), whose sum is σ = 5679400541696. Its totient is φ = 616254566400.

The previous prime is 2123322313267. The next prime is 2123322313381. The reversal of 2123322313332 is 2333132233212.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2123322313332.

It is a congruent number.

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, 4123008 + ... + 4609320.

Almost surely, 22123322313332 is an apocalyptic number.

2123322313332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123322313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839700270848).

2123322313332 is an abundant number, since it is smaller than the sum of its proper divisors (3556078228364).

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

2123322313332 is a wasteful number, since it uses less digits than its factorization.

2123322313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486470 (or 486457 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 2123322313332 its reverse (2333132233212), we get a palindrome (4456454546544).

The spelling of 2123322313332 in words is "two trillion, one hundred twenty-three billion, three hundred twenty-two million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 97 121 124 132 186 194 242 291 341 363 372 388 484 582 682 726 1023 1067 1164 1364 1452 2046 2134 3007 3201 3751 4092 4268 6014 6402 7502 9021 11253 11737 12028 12804 15004 18042 22506 23474 33077 35211 36084 45012 46948 66154 70422 99231 132308 140844 198462 363847 396924 486313 727694 972626 1091541 1455388 1458939 1945252 2183082 2917878 4366164 5349443 5835756 10698886 15075703 16048329 21397772 30151406 32096658 45227109 47172361 58843873 60302812 64193316 90454218 94344722 117687746 141517083 165832733 176531619 180908436 188689444 235375492 283034166 331665466 353063238 497498199 518895971 566068332 663330932 706126476 994996398 1037791942 1462343191 1556687913 1824160063 1989992796 2075583884 2924686382 3113375826 3648320126 4387029573 5472480189 5707855681 5849372764 6226751652 7296640252 8774059146 10944960378 11415711362 16085775101 17123567043 17548118292 21889920756 22831422724 32171550202 34247134086 48257325303 64343100404 68494268172 96514650606 176943526111 193029301212 353887052222 530830578333 707774104444 1061661156666 2123322313332