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200012011221 = 311193725733547
BaseRepresentation
bin1011101001000110100…
…1010001011011010101
3201010021011212220210110
42322101221101123111
511234111033324341
6231514555313233
720310325021101
oct2722151213325
9633234786713
10200012011221
1177908625430
123291b74b819
1315b269662c9
14997592a901
155309548216
hex2e91a516d5

200012011221 has 64 divisors (see below), whose sum is σ = 315748408320. Its totient is φ = 111297576960.

The previous prime is 200012011193. The next prime is 200012011237. The reversal of 200012011221 is 122110210002.

200012011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200012011221 - 210 = 200012010197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200012011197 and 200012011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012011621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5945370 + ... + 5978916.

It is an arithmetic number, because the mean of its divisors is an integer number (4933568880).

Almost surely, 2200012011221 is an apocalyptic number.

It is an amenable number.

200012011221 is a deficient number, since it is larger than the sum of its proper divisors (115736397099).

200012011221 is a wasteful number, since it uses less digits than its factorization.

200012011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33874.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200012011221 its reverse (122110210002), we get a palindrome (322122221223).

The spelling of 200012011221 in words is "two hundred billion, twelve million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 37 57 111 209 257 407 627 703 771 1221 2109 2827 4883 7733 8481 9509 14649 23199 28527 33547 53713 100641 104599 161139 180671 313797 369017 542013 637393 1107051 1241239 1912179 1987381 3723717 5962143 7011323 8621579 13653629 21033969 23583541 25864737 40960887 70750623 94837369 163810001 259418951 284512107 318998423 491430003 778256853 956995269 1801910011 3508982653 5405730033 6060970037 10526947959 18182910111 66670670407 200012011221