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11002032013221 = 32293122317233539
BaseRepresentation
bin1010000000011001110000…
…1101011011111110100101
31102221210011112020122102100
42200012130031123332211
52420224130143410341
635222132544402313
72213604416050164
oct240063415337645
942853145218370
1011002032013221
113561a32281587
121298326316399
1361a6443c9842
142a07033a53db
151412c4c923b6
hexa019c35bfa5

11002032013221 has 96 divisors (see below), whose sum is σ = 17060946739200. Its totient is φ = 6816704791680.

The previous prime is 11002032013171. The next prime is 11002032013243. The reversal of 11002032013221 is 12231023020011.

11002032013221 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 20 + 320 + 1 + 322 + 1 = 666.

11002032013221 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 11002032013221 - 218 = 11002031751077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11002032013194 and 11002032013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002032013261) 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, 3108795070 + ... + 3108798608.

It is an arithmetic number, because the mean of its divisors is an integer number (177718195200).

Almost surely, 211002032013221 is an apocalyptic number.

It is an amenable number.

11002032013221 is a deficient number, since it is larger than the sum of its proper divisors (6058914725979).

11002032013221 is a wasteful number, since it uses less digits than its factorization.

11002032013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5548 counting only the distinct ones).

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

Adding to 11002032013221 its reverse (12231023020011), we get a palindrome (23233055033232).

The spelling of 11002032013221 in words is "eleven trillion, two billion, thirty-two million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 29 31 87 93 223 261 279 669 899 1723 2007 2697 3539 5169 6467 6913 8091 10617 15507 19401 20739 31851 49967 53413 58203 62217 102631 109709 149901 160239 200477 307893 329127 384229 449703 480717 601431 789197 923679 987381 1152687 1548977 1804293 2367591 3181561 3458061 4646931 6097697 7102773 9544683 11142641 11911099 13940793 18293091 22886713 24465107 28634049 33427923 35733297 54879273 68660139 73395321 100283769 107199891 176833213 189028607 205980417 220185963 345421871 530499639 567085821 709488103 1036265613 1359786431 1591498917 1701257463 2128464309 3108796839 4079359293 5481829603 6385392927 12238077879 16445488809 39433806499 42153379361 49336466427 118301419497 126460138083 354904258491 379380414249 1222448001469 3667344004407 11002032013221