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21311102303322 = 23135329324777103
BaseRepresentation
bin1001101100001111000001…
…01011101011110001011010
32210110022200100202101220020
410312013200223223301122
510243130114142201242
6113154104002411310
74326450660513456
oct466074053536132
983408610671806
1021311102303322
116876a95742017
122482299060b36
13bb7822574810
1453966a107666
1526e53d8076ec
hex1361e0aebc5a

21311102303322 has 128 divisors (see below), whose sum is σ = 46952057327616. Its totient is φ = 6408092101632.

The previous prime is 21311102303273. The next prime is 21311102303347. The reversal of 21311102303322 is 22330320111312.

It is a junction number, because it is equal to n+sod(n) for n = 21311102303292 and 21311102303301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3000292423 + ... + 3000299525.

It is an arithmetic number, because the mean of its divisors is an integer number (366812947872).

Almost surely, 221311102303322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311102303322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476028663808).

21311102303322 is an abundant number, since it is smaller than the sum of its proper divisors (25640955024294).

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

21311102303322 is a wasteful number, since it uses less digits than its factorization.

21311102303322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21311102303322 its reverse (22330320111312), we get a palindrome (43641422414634).

The spelling of 21311102303322 in words is "twenty-one trillion, three hundred eleven billion, one hundred two million, three hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 293 318 586 689 879 1378 1758 2067 2477 3809 4134 4954 7103 7431 7618 11427 14206 14862 15529 21309 22854 31058 32201 42618 46587 64402 92339 93174 96603 131281 184678 193206 201877 262562 277017 376459 393843 403754 554034 605631 725761 752918 787686 1129377 1211262 1451522 1706653 2081179 2177283 2258754 3413306 4162358 4354566 4893967 5119959 6243537 9434893 9787934 10239918 12487074 14681901 17594131 18869786 27055327 28304679 29363802 35188262 38465333 52782393 54110654 56609358 76930666 81165981 105564786 110302487 115395999 162331962 220604974 228723703 230791998 330907461 457447406 500049329 661814922 686171109 932488943 1000098658 1372342218 1433932331 1500147987 1864977886 2797466829 2867864662 3000295974 4301796993 5155080383 5594933658 8603593986 10310160766 12122356259 15465241149 24244712518 30930482298 36367068777 67016044979 72734137554 134032089958 201048134937 273219260299 402096269874 546438520598 819657780897 1639315561794 3551850383887 7103700767774 10655551151661 21311102303322