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21331322082 = 2337127444347
BaseRepresentation
bin10011110111011100…
…100010010011100010
32001001121122102211000
4103313130202103202
5322141304301312
613444404132430
71353416150250
oct236734422342
961047572730
1021331322082
119056a80004
124173997116
13201c45b595
14106503b5d0
1584ca96adc
hex4f77224e2

21331322082 has 64 divisors (see below), whose sum is σ = 54601482240. Its totient is φ = 6046660368.

The previous prime is 21331322069. The next prime is 21331322083. The reversal of 21331322082 is 28022313312.

It is a happy number.

21331322082 is a `hidden beast` number, since 2 + 1 + 331 + 322 + 0 + 8 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21331322083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174168 + ... + 270179.

It is an arithmetic number, because the mean of its divisors is an integer number (853148160).

Almost surely, 221331322082 is an apocalyptic number.

21331322082 is an abundant number, since it is smaller than the sum of its proper divisors (33270160158).

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

21331322082 is a wasteful number, since it uses less digits than its factorization.

21331322082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444492 (or 444486 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21331322082 its reverse (28022313312), we get a palindrome (49353635394).

The spelling of 21331322082 in words is "twenty-one billion, three hundred thirty-one million, three hundred twenty-two thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 254 378 381 762 889 1143 1778 2286 2667 3429 5334 6858 8001 16002 24003 48006 444347 888694 1333041 2666082 3110429 3999123 6220858 7998246 9331287 11997369 18662574 23994738 27993861 55987722 56432069 83981583 112864138 167963166 169296207 338592414 395024483 507888621 790048966 1015777242 1185073449 1523665863 2370146898 3047331726 3555220347 7110440694 10665661041 21331322082