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20233111000221 = 32717195279188351
BaseRepresentation
bin1001001100110111000110…
…11001001101010010011101
32122122021012021221021112200
410212123203121031102131
510122444402404001341
6111010543551522113
74155536231566140
oct446334331152235
978567167837480
1020233111000221
1164a08a5757829
12232938bb29339
13b39c88374c22
144dd405a06057
1525149a101db6
hex1266e364d49d

20233111000221 has 96 divisors (see below), whose sum is σ = 37234026086400. Its totient is φ = 10306945958400.

The previous prime is 20233111000181. The next prime is 20233111000231. The reversal of 20233111000221 is 12200011133202.

20233111000221 is a `hidden beast` number, since 2 + 0 + 2 + 331 + 110 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 20233111000221 - 210 = 20233110999197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20233111000194 and 20233111000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233111000231) 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 95 ways as a sum of consecutive naturals, for example, 107328196 + ... + 107516546.

It is an arithmetic number, because the mean of its divisors is an integer number (387854438400).

Almost surely, 220233111000221 is an apocalyptic number.

20233111000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20233111000221 is a deficient number, since it is larger than the sum of its proper divisors (17000915086179).

20233111000221 is a wasteful number, since it uses less digits than its factorization.

20233111000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193679 (or 193676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20233111000221 its reverse (12200011133202), we get a palindrome (32433122133423).

The spelling of 20233111000221 in words is "twenty trillion, two hundred thirty-three billion, one hundred eleven million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 1071 1197 2261 2907 5279 6783 15837 20349 36953 47511 89743 100301 110859 188351 269229 300903 332577 565053 628201 702107 807687 902709 1318457 1695159 1705117 1884603 2106321 3201967 3578669 3955371 5115351 5653809 6318963 9605901 10736007 11866113 11935819 15346053 22413769 25050683 28817703 32208021 35807457 60837373 67241307 75152049 107422371 182512119 201723921 225456147 425861611 547536357 994304929 1277584833 2982914787 3832754499 6960134503 8948744361 16903183793 18891793651 20880403509 50709551379 56675380953 62641210527 118322286551 132242555557 152128654137 170026142859 321160492067 354966859653 396727666671 963481476201 1064900578959 1190183000013 2248123444469 2890444428603 6744370333407 20233111000221