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312002111212221 = 34331720873655831
BaseRepresentation
bin100011011110000111010011…
…1000000100000101010111101
31111220201002222120122101100210
41012330032213000200222331
5311343320310432242341
63023323442520543033
7122501260112505213
oct10674164700405275
91456632876571323
10312002111212221
11904603969a0311
122abb0123921a79
1310512899309ab1
145708da897ccb3
152610d56cadc16
hex11bc3a7020abd

312002111212221 has 32 divisors (see below), whose sum is σ = 427224856025088. Its totient is φ = 202426173270720.

The previous prime is 312002111212189. The next prime is 312002111212279. The reversal of 312002111212221 is 122212111200213.

It is not a de Polignac number, because 312002111212221 - 25 = 312002111212189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312002111212321) 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 31 ways as a sum of consecutive naturals, for example, 83515776 + ... + 87171606.

It is an arithmetic number, because the mean of its divisors is an integer number (13350776750784).

Almost surely, 2312002111212221 is an apocalyptic number.

It is an amenable number.

312002111212221 is a deficient number, since it is larger than the sum of its proper divisors (115222744812867).

312002111212221 is a wasteful number, since it uses less digits than its factorization.

312002111212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658281.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 312002111212221 its reverse (122212111200213), we get a palindrome (434214222412434).

The spelling of 312002111212221 in words is "three hundred twelve trillion, two billion, one hundred eleven million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 43 129 317 951 2087 6261 13631 40893 89741 269223 661579 1984737 3655831 10967493 28447897 85343691 157200733 471602199 1158898427 3476695281 7629719297 22889157891 49832632361 149497897083 328077929771 984233789313 2418621017149 7255863051447 104000703737407 312002111212221