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221121001101 = 371113378323977
BaseRepresentation
bin1100110111101111010…
…1101011011010001101
3210010202022011201011110
43031323311223122031
512110323434013401
6245325342242233
721655404332460
oct3157365533215
9703668151143
10221121001101
1185860049a10
1236a30b86379
1317b0c01b770
14a9b92112d7
155b428239d6
hex337bd6b68d

221121001101 has 128 divisors (see below), whose sum is σ = 411467083776. Its totient is φ = 101919098880.

The previous prime is 221121001099. The next prime is 221121001111. The reversal of 221121001101 is 101100121122.

It is not a de Polignac number, because 221121001101 - 21 = 221121001099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121001111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9210225 + ... + 9234201.

It is an arithmetic number, because the mean of its divisors is an integer number (3214586592).

Almost surely, 2221121001101 is an apocalyptic number.

221121001101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221121001101 is a deficient number, since it is larger than the sum of its proper divisors (190346082675).

221121001101 is a wasteful number, since it uses less digits than its factorization.

221121001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24131.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221121001101 its reverse (101100121122), we get a palindrome (322221122223).

The spelling of 221121001101 in words is "two hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 83 91 111 143 231 249 259 273 407 429 481 581 777 913 1001 1079 1221 1443 1743 2739 2849 3003 3071 3237 3367 5291 6391 7553 8547 9213 10101 11869 15873 19173 21497 22659 23977 33781 35607 37037 39923 64491 71931 83083 101343 111111 119769 167839 236467 249249 263747 279461 311701 439153 503517 709401 791241 838383 887149 935103 1317459 1846229 1990091 2181907 2661447 3074071 3428711 5538687 5970273 6210043 6545721 9222213 9758639 10286133 11532937 13930637 18630129 21891001 24000977 25871183 29275917 34598811 41791911 65673003 68310473 72002931 73633367 77613549 80730559 126862307 153237007 181098281 204931419 220900101 242191677 284583013 380586921 459711021 515433569 543294843 809967037 853749039 888036149 957233771 1546300707 1992081091 2429901111 2664108447 2871701313 5669769259 5976243273 6700636397 10529571481 17009307777 20101909191 31588714443 73707000367 221121001101