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112121221010202 = 23237361213466069
BaseRepresentation
bin11001011111100101000001…
…100011001101001100011010
3112200222200110200002222200200
4121133211001203031030122
5104143443230034311302
61034243440003443030
732421330243562545
oct3137450143151432
9480880420088620
10112121221010202
11327a83852a2138
12106a9a16086476
134a73ca798c521
141d989a5d7585c
15ce67e498181c
hex65f9418cd31a

112121221010202 has 48 divisors (see below), whose sum is σ = 249496195308360. Its totient is φ = 36363460553856.

The previous prime is 112121221010177. The next prime is 112121221010207. The reversal of 112121221010202 is 202010122121211.

112121221010202 is a `hidden beast` number, since 11 + 21 + 212 + 210 + 10 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110014946417601 + 2106274592601 = 10488801^2 + 1451301^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112121221010207) 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 23 ways as a sum of consecutive naturals, for example, 240334824 + ... + 240800892.

Almost surely, 2112121221010202 is an apocalyptic number.

112121221010202 is an abundant number, since it is smaller than the sum of its proper divisors (137374974298158).

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

112121221010202 is a wasteful number, since it uses less digits than its factorization.

112121221010202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827327 (or 827324 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112121221010202 its reverse (202010122121211), we get a palindrome (314131343131413).

The spelling of 112121221010202 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 361213 466069 722426 932138 1083639 1398207 2167278 2796414 3250917 4194621 6501834 8389242 13364881 17244553 26729762 34489106 40094643 51733659 80189286 103467318 120283929 155200977 240567858 310401954 168350181697 336700363394 505050545091 1010101090182 1515151635273 3030303270546 6228956722789 12457913445578 18686870168367 37373740336734 56060610505101 112121221010202