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10023222123320 = 2357292395164799
BaseRepresentation
bin1001000111011011011010…
…0110000001101100111000
31022111012200120202100022212
42101312312212001230320
52303210024330421240
633152334335434252
72053103534212610
oct221666646015470
938435616670285
1010023222123320
113214908646a7a
12115a698985988
135792552496b3
142691ab31ba40
15125ad89cc165
hex91db6981b38

10023222123320 has 128 divisors (see below), whose sum is σ = 26774323200000. Its totient is φ = 3304148531712.

The previous prime is 10023222123287. The next prime is 10023222123331. The reversal of 10023222123320 is 2332122232001.

It is a super-2 number, since 2×100232221233202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 641720 + ... + 4523079.

It is an arithmetic number, because the mean of its divisors is an integer number (209174400000).

Almost surely, 210023222123320 is an apocalyptic number.

10023222123320 is a gapful number since it is divisible by the number (10) 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 10023222123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387161600000).

10023222123320 is an abundant number, since it is smaller than the sum of its proper divisors (16751101076680).

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

10023222123320 is a wasteful number, since it uses less digits than its factorization.

10023222123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165085 (or 5165081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10023222123320 its reverse (2332122232001), we get a palindrome (12355344355321).

The spelling of 10023222123320 in words is "ten trillion, twenty-three billion, two hundred twenty-two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 239 280 290 406 478 580 812 956 1015 1160 1195 1624 1673 1912 2030 2390 3346 4060 4780 6692 6931 8120 8365 9560 13384 13862 16730 27724 33460 34655 48517 55448 66920 69310 97034 138620 194068 242585 277240 388136 485170 970340 1940680 5164799 10329598 20659196 25823995 36153593 41318392 51647990 72307186 103295980 144614372 149779171 180767965 206591960 289228744 299558342 361535930 599116684 723071860 748895855 1048454197 1198233368 1234386961 1446143720 1497791710 2096908394 2468773922 2995583420 4193816788 4937547844 5242270985 5991166840 6171934805 8387633576 8640708727 9875095688 10484541970 12343869610 17281417454 20969083940 24687739220 34562834908 35797221869 41938167880 43203543635 49375478440 69125669816 71594443738 86407087270 143188887476 172814174540 178986109345 250580553083 286377774952 345628349080 357972218690 501161106166 715944437380 1002322212332 1252902765415 1431888874760 2004644424664 2505805530830 5011611061660 10023222123320