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221312310102 = 23413412563087
BaseRepresentation
bin1100111000011100111…
…1011101101101010110
3210011020122011012210000
43032013033131231112
512111221422410402
6245400334512130
721663216411612
oct3160717355526
9704218135700
10221312310102
1185949036224
1236a85065646
1317b3c851c60
14a9d67b0342
155b54512c1c
hex33873ddb56

221312310102 has 80 divisors (see below), whose sum is σ = 547075755072. Its totient is φ = 66435189120.

The previous prime is 221312310071. The next prime is 221312310103. The reversal of 221312310102 is 201013213122.

221312310102 is a `hidden beast` number, since 221 + 31 + 2 + 310 + 102 = 666.

It is a super-2 number, since 2×2213123101022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312310103) 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 39 ways as a sum of consecutive naturals, for example, 1195198 + ... + 1367889.

Almost surely, 2221312310102 is an apocalyptic number.

221312310102 is an abundant number, since it is smaller than the sum of its proper divisors (325763444970).

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

221312310102 is a wasteful number, since it uses less digits than its factorization.

221312310102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563155 (or 2563146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221312310102 its reverse (201013213122), we get a palindrome (422325523224).

The spelling of 221312310102 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 351 369 533 702 738 1053 1066 1107 1599 2106 2214 3198 3321 4797 6642 9594 14391 28782 43173 86346 2563087 5126174 7689261 15378522 23067783 33320131 46135566 66640262 69203349 99960393 105086567 138406698 199920786 207610047 210173134 299881179 315259701 415220094 599762358 630519402 899643537 945779103 1366125371 1799287074 1891558206 2698930611 2732250742 2837337309 4098376113 5397861222 5674674618 8196752226 8512011927 12295128339 17024023854 24590256678 36885385017 73770770034 110656155051 221312310102