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221002222200122 = 21124127190419091
BaseRepresentation
bin110010010000000000010110…
…111100101110010100111010
31001222111121100211222110012102
4302100000112330232110322
5212431400022340400442
62102011004055343402
764356612042436136
oct6220002674562472
91058447324873172
10221002222200122
1164466574a09100
1220953865081b62
13964156004375c
143c807c94a43c6
151a83b957e1232
hexc90016f2e53a

221002222200122 has 96 divisors (see below), whose sum is σ = 374727029048064. Its totient is φ = 97622236800000.

The previous prime is 221002222200121. The next prime is 221002222200143.

221002222200122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221002222200094 and 221002222200103.

It is not an unprimeable number, because it can be changed into a prime (221002222200121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24309996797 + ... + 24310005887.

It is an arithmetic number, because the mean of its divisors is an integer number (3903406552584).

Almost surely, 2221002222200122 is an apocalyptic number.

221002222200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221002222200122 is a deficient number, since it is larger than the sum of its proper divisors (153724806847942).

221002222200122 is a wasteful number, since it uses less digits than its factorization.

221002222200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

It can be divided in two parts, 22100 and 2222200122, that added together give a palindrome (2222222222).

The spelling of 221002222200122 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 11 22 41 82 121 242 271 451 542 902 2981 4961 5962 9041 9091 9922 11111 18082 18182 22222 32791 65582 99451 100001 122221 198902 200002 244442 370681 372731 741362 745462 1093961 1100011 1344431 2187922 2200022 2450111 2463661 2688862 4077491 4100041 4900222 4927322 8154982 8200082 26951221 27100271 44852401 45100451 53902442 54200542 82191731 89704802 90200902 100454551 101010101 164383462 200909102 202020202 296463431 298102981 592926862 596205962 904109041 1105000061 1111111111 1808218082 2210000122 2222222222 3369860971 6739721942 9945199451 12155000671 12222222221 19890398902 22273959101 24310001342 24444444442 37068470681 44547918202 74136941362 245013550111 407753177491 490027100222 815506354982 913232323141 1826464646282 2695149051221 5390298102442 10045555554551 20091111109102 110501111100061 221002222200122