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10102221200223 = 333144932686303
BaseRepresentation
bin1001001100000001101101…
…0011100101101101011111
31022202202121011110020222000
42103000123103211231133
52311003322111401343
633252521340053343
72061601313250225
oct223003323455537
938682534406860
1010102221200223
113245367559789
121171a65534253
13583834bb0109
1426cd43188b15
15127bae185ed3
hex9301b4e5b5f

10102221200223 has 32 divisors (see below), whose sum is σ = 15452480225280. Its totient is φ = 6516109035360.

The previous prime is 10102221200209. The next prime is 10102221200251. The reversal of 10102221200223 is 32200212220101.

10102221200223 is a `hidden beast` number, since 10 + 10 + 2 + 221 + 200 + 223 = 666.

It is not a de Polignac number, because 10102221200223 - 29 = 10102221199711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102221200196 and 10102221200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102221207223) 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 31 ways as a sum of consecutive naturals, for example, 2417490 + ... + 5103792.

It is an arithmetic number, because the mean of its divisors is an integer number (482890007040).

Almost surely, 210102221200223 is an apocalyptic number.

10102221200223 is a deficient number, since it is larger than the sum of its proper divisors (5350259025057).

10102221200223 is a wasteful number, since it uses less digits than its factorization.

10102221200223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690836 (or 2690830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10102221200223 its reverse (32200212220101), we get a palindrome (42302433420324).

The spelling of 10102221200223 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, two hundred thousand, two hundred twenty-three".

Divisors: 1 3 9 27 31 93 279 837 4493 13479 40437 121311 139283 417849 1253547 2686303 3760641 8058909 24176727 72530181 83275393 249826179 749478537 2248435611 12069559379 36208678137 108626034411 325878103233 374156340749 1122469022247 3367407066741 10102221200223