Search a number
-
+
10102222101999 = 32310315718150021
BaseRepresentation
bin1001001100000001101101…
…0111000001110111101111
31022202202121020011001222010
42103000123113001313233
52311003322324230444
633252521411252303
72061601324024266
oct223003327016757
938682536131863
1010102222101999
113245368015255
121171a658aa093
13583835137701
1426cd433415dd
15127bae2b32b9
hex9301b5c1def

10102222101999 has 64 divisors (see below), whose sum is σ = 14361311397888. Its totient is φ = 6303672460800.

The previous prime is 10102222101977. The next prime is 10102222102019. The reversal of 10102222101999 is 99910122220101.

It is a happy number.

It is not a de Polignac number, because 10102222101999 - 27 = 10102222101871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102222101299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201934609 + ... + 201984629.

It is an arithmetic number, because the mean of its divisors is an integer number (224395490592).

Almost surely, 210102222101999 is an apocalyptic number.

10102222101999 is a deficient number, since it is larger than the sum of its proper divisors (4259089295889).

10102222101999 is a wasteful number, since it uses less digits than its factorization.

10102222101999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50488.

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 10102222101999 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand, nine hundred ninety-nine".

Divisors: 1 3 23 69 103 157 181 309 471 543 2369 3611 4163 7107 10833 12489 16171 18643 28417 48513 50021 55929 85251 150063 371933 428789 653591 1115799 1150483 1286367 1960773 2926951 3451449 5152163 7853297 8780853 9053801 15456489 23559891 27161403 67319873 118499749 180625831 201959619 208237423 355499247 541877493 624712269 808889591 932541503 1421446757 2426668773 2797624509 4264340271 18604460593 21448454569 32693275411 55813381779 64345363707 98079826233 146409015971 439227047913 3367407367333 10102222101999