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1000220211221 = 711172532233803
BaseRepresentation
bin11101000111000011100…
…01010011100000010101
310112121202001210022111012
432203201301103200111
5112341422333224341
62043254514222005
7132156250342160
oct16434161234025
93477661708435
101000220211221
11356211262940
12141a23884905
1373421aab43a
14365a77aaad7
151b040c640eb
hexe8e1c53815

1000220211221 has 96 divisors (see below), whose sum is σ = 1356100558848. Its totient is φ = 716289500160.

The previous prime is 1000220211173. The next prime is 1000220211229. The reversal of 1000220211221 is 1221120220001.

It is not a de Polignac number, because 1000220211221 - 26 = 1000220211157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000220211196 and 1000220211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000220211229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263006306 + ... + 263010108.

It is an arithmetic number, because the mean of its divisors is an integer number (14126047488).

Almost surely, 21000220211221 is an apocalyptic number.

1000220211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000220211221 is a deficient number, since it is larger than the sum of its proper divisors (355880347627).

1000220211221 is a wasteful number, since it uses less digits than its factorization.

1000220211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000220211221 its reverse (1221120220001), we get a palindrome (2221340431222).

The spelling of 1000220211221 in words is "one trillion, two hundred twenty million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 17 53 77 119 187 223 289 371 583 901 1309 1561 2023 2453 3179 3791 3803 4081 6307 9911 11819 15317 17171 22253 26537 26621 41701 41833 64447 64651 69377 82733 107219 130009 168487 200923 201559 291907 292831 451129 452557 708917 711161 848069 910063 1099067 1179409 1406461 1410913 2210153 2217149 3415691 3426503 4962419 4978127 5936483 7693469 9328759 12089737 14417173 15471071 15520043 23909837 23985521 37572601 37691533 44947657 58250551 65301313 84628159 100920211 158588903 245091941 263008207 263840731 314633599 407753857 494424227 640756061 764110169 1110122321 1715643587 2696011351 3460969589 4485292427 5348771183 8405211859 12989872873 18872079457 58836483013 90929110111 142888601603 1000220211221