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21314312221110 = 23517159712616791
BaseRepresentation
bin1001101100010101000000…
…00000100011000110110110
32210110121222001210010022020
410312022200000203012312
510243203202412033420
6113155354310214010
74326623345411406
oct466124000430666
983417861703266
1021314312221110
116878392649837
122482a34054306
13bb7c145a665c
14539892554806
1526e67a514340
hex1362a00231b6

21314312221110 has 64 divisors (see below), whose sum is σ = 54166840763904. Its totient is φ = 5349137446400.

The previous prime is 21314312221099. The next prime is 21314312221117. The reversal of 21314312221110 is 1112221341312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314312221117) 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 31 ways as a sum of consecutive naturals, for example, 6836815 + ... + 9453605.

It is an arithmetic number, because the mean of its divisors is an integer number (846356886936).

Almost surely, 221314312221110 is an apocalyptic number.

21314312221110 is an abundant number, since it is smaller than the sum of its proper divisors (32852528542794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21314312221110 is a wasteful number, since it uses less digits than its factorization.

21314312221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632789.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 21314312221110 its reverse (1112221341312), we get a palindrome (22426533562422).

The spelling of 21314312221110 in words is "twenty-one trillion, three hundred fourteen billion, three hundred twelve million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 15971 31942 47913 79855 95826 159710 239565 271507 479130 543014 814521 1357535 1629042 2616791 2715070 4072605 5233582 7850373 8145210 13083955 15700746 26167910 39251865 44485447 78503730 88970894 133456341 222427235 266912682 444854470 667281705 1334563410 41792769061 83585538122 125378307183 208963845305 250756614366 417927690610 626891535915 710477074037 1253783071830 1420954148074 2131431222111 3552385370185 4262862444222 7104770740370 10657156110555 21314312221110