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221002100121222 = 23273747581996301
BaseRepresentation
bin110010010000000000001111…
…101011000001111010000110
31001222111121001100021012102200
4302100000033223001322012
5212431344300112334342
62102010544015015330
764356606030666030
oct6220001753017206
91058447040235380
10221002100121222
1164466512007452
122095383020a546
13964154096c514
143c807b71a6c50
151a83b89c2994c
hexc9000fac1e86

221002100121222 has 96 divisors (see below), whose sum is σ = 562046031153984. Its totient is φ = 61435524384000.

The previous prime is 221002100121221. The next prime is 221002100121287. The reversal of 221002100121222 is 222121001200122.

It is a happy number.

221002100121222 is a `hidden beast` number, since 2 + 210 + 0 + 210 + 0 + 1 + 21 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221002100121195 and 221002100121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002100121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221324472 + ... + 222320772.

It is an arithmetic number, because the mean of its divisors is an integer number (5854646157854).

Almost surely, 2221002100121222 is an apocalyptic number.

221002100121222 is an abundant number, since it is smaller than the sum of its proper divisors (341043931032762).

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

221002100121222 is a wasteful number, since it uses less digits than its factorization.

221002100121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043934 (or 1043931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002100121222 its reverse (222121001200122), we get a palindrome (443123101321344).

The spelling of 221002100121222 in words is "two hundred twenty-one trillion, two billion, one hundred million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 47581 95162 142743 285486 333067 428229 666134 856458 996301 999201 1760497 1992602 1998402 2988903 2997603 3520994 5281491 5977806 5995206 6974107 8966709 10562982 12323479 13948214 15844473 17933418 20922321 24646958 31688946 36863137 36970437 41844642 62766963 73726274 73940874 110589411 110911311 125533926 221178822 221822622 258041959 331768233 516083918 663536466 774125877 1548251754 2322377631 4644755262 47404997881 94809995762 142214993643 284429987286 331834985167 426644980929 663669970334 853289961858 995504955501 1753984921597 1991009911002 2986514866503 3507969843194 5261954764791 5973029733006 10523909529582 12277894451179 15785864294373 24555788902358 31571728588746 36833683353537 73667366707074 110501050060611 221002100121222