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21311411223303 = 345925769125111
BaseRepresentation
bin1001101100001111100110…
…00110000111101100000111
32210110100110220001011110000
410312013303012013230013
510243131232233121203
6113154154355532343
74326461431344015
oct466076306075407
983410426034400
1021311411223303
116877134059193
1224823645ba0b3
13bb78715766c6
1453969915d8b5
1526e55a9c94a3
hex1361f3187b07

21311411223303 has 80 divisors (see below), whose sum is σ = 32549455192320. Its totient is φ = 13891768012800.

The previous prime is 21311411223269. The next prime is 21311411223359. The reversal of 21311411223303 is 30332211411312.

21311411223303 is a `hidden beast` number, since 2 + 1 + 3 + 11 + 411 + 2 + 233 + 0 + 3 = 666.

It is not a de Polignac number, because 21311411223303 - 212 = 21311411219207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311411223383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 848675718 + ... + 848700828.

It is an arithmetic number, because the mean of its divisors is an integer number (406868189904).

Almost surely, 221311411223303 is an apocalyptic number.

21311411223303 is a deficient number, since it is larger than the sum of its proper divisors (11238043969017).

21311411223303 is a wasteful number, since it uses less digits than its factorization.

21311411223303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26130 (or 26121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21311411223303 its reverse (30332211411312), we get a palindrome (51643622634615).

The spelling of 21311411223303 in words is "twenty-one trillion, three hundred eleven billion, four hundred eleven million, two hundred twenty-three thousand, three hundred three".

Divisors: 1 3 9 27 59 81 177 257 531 691 771 1593 2073 2313 4779 6219 6939 15163 18657 20817 25111 40769 45489 55971 75333 122307 136467 177587 225999 366921 409401 532761 677997 1100763 1228203 1481549 1598283 2033991 3302289 4444647 4794849 6453527 10477633 13333941 14384547 17351701 19360581 31432899 40001823 52055103 58081743 94298697 120005469 156165309 174245229 282896091 380758093 468495927 522735687 848688273 1023750359 1142274279 1405487781 3071251077 3426822837 4459387157 9213753231 10280468511 13378161471 27641259693 30841405533 40134484413 82923779079 120403453239 263103842263 361210359717 789311526789 2367934580367 7103803741101 21311411223303