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21031331113221 = 311132910116737481
BaseRepresentation
bin1001100100000101111010…
…00001010010100100000101
32202110120112121220101120120
410302002331001102210011
510224034131231110341
6112421354331052153
74300314663603222
oct462027501224405
982416477811516
1021031331113221
116779379145030
12243801a2a1059
13b97327654210
14529cc980c949
15267117010066
hex1320bd052905

21031331113221 has 64 divisors (see below), whose sum is σ = 34417618986240. Its totient is φ = 11247586560000.

The previous prime is 21031331113217. The next prime is 21031331113249. The reversal of 21031331113221 is 12231113313012.

It is not a de Polignac number, because 21031331113221 - 22 = 21031331113217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21031331113191 and 21031331113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031331112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7112200 + ... + 9625281.

It is an arithmetic number, because the mean of its divisors is an integer number (537775296660).

Almost surely, 221031331113221 is an apocalyptic number.

It is an amenable number.

21031331113221 is a deficient number, since it is larger than the sum of its proper divisors (13386287873019).

21031331113221 is a wasteful number, since it uses less digits than its factorization.

21031331113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16737638.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21031331113221 its reverse (12231113313012), we get a palindrome (33262444426233).

The spelling of 21031331113221 in words is "twenty-one trillion, thirty-one billion, three hundred thirty-one million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 11 13 29 33 39 87 101 143 303 319 377 429 957 1111 1131 1313 2929 3333 3939 4147 8787 12441 14443 32219 38077 43329 96657 114231 418847 1256541 16737481 50212443 184112291 217587253 485386949 552336873 652761759 1456160847 1690485581 2393459783 5071456743 5339256439 6310030337 7180379349 16017769317 18595341391 18930091011 21976312553 49024081849 55786024173 65928937659 69410333707 147072245547 208231001121 241739438083 539264900339 637313064037 725218314249 1617794701017 1911939192111 7010443704407 21031331113221