Search a number
-
+
12111202221003 = 32173122313078761
BaseRepresentation
bin1011000000111101101111…
…1001111111101111001011
31120212211010111200020100100
42300033123321333233023
53041412220232033003
641431450503340443
72360001611211324
oct260173371775713
946784114606310
1012111202221003
11394a371a08396
121437295151723
1369b109caab62
142dc28470d44b
15160090841ba3
hexb03dbe7fbcb

12111202221003 has 96 divisors (see below), whose sum is σ = 19223162929152. Its totient is φ = 7314636441600.

The previous prime is 12111202220983. The next prime is 12111202221029. The reversal of 12111202221003 is 30012220211121.

It is not a de Polignac number, because 12111202221003 - 210 = 12111202219979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111202221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1382395143 + ... + 1382403903.

It is an arithmetic number, because the mean of its divisors is an integer number (200241280512).

Almost surely, 212111202221003 is an apocalyptic number.

12111202221003 is a deficient number, since it is larger than the sum of its proper divisors (7111960708149).

12111202221003 is a wasteful number, since it uses less digits than its factorization.

12111202221003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12111202221003 its reverse (30012220211121), we get a palindrome (42123422432124).

The spelling of 12111202221003 in words is "twelve trillion, one hundred eleven billion, two hundred two million, two hundred twenty-one thousand, three".

Divisors: 1 3 9 17 31 51 93 153 223 279 527 669 1307 1581 2007 3791 3921 4743 6913 8761 11373 11763 20739 22219 26283 34119 40517 62217 66657 78849 117521 121551 148937 199971 271591 291461 352563 364653 446811 688789 814773 874383 1057689 1340433 1953703 2066367 2444319 2623149 4617047 4954837 5861109 6199101 9035291 11450627 13851141 14864511 17583327 27105873 33212951 34351881 41553423 44593533 60564793 81317619 99638853 103055643 153599947 181694379 194660659 298916559 354969437 460799841 545083137 583981977 1029601481 1064908311 1382399523 1751945931 2553489821 3088804443 3194724933 6034480429 7660469463 9266413329 18103441287 22981408389 43409326957 54310323861 79158184451 130227980871 237474553353 390683942613 712423660059 1345689135667 4037067407001 12111202221003