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10212301444311 = 32107359162118223
BaseRepresentation
bin1001010010011011110010…
…0110011001010011010111
31100011021201211212001112100
42110212330212121103113
52314304243132204221
633415244433453143
72102546231011401
oct224467446312327
940137654761470
1010212301444311
113288015a2741a
12118b2671111b3
13591028bc4515
142743c6c99b71
1512a9a332e926
hex949bc9994d7

10212301444311 has 48 divisors (see below), whose sum is σ = 14940466744320. Its totient is φ = 6721267792320.

The previous prime is 10212301444277. The next prime is 10212301444363. The reversal of 10212301444311 is 11344410321201.

It is a happy number.

10212301444311 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 301 + 4 + 44 + 311 = 666.

It is not a de Polignac number, because 10212301444311 - 213 = 10212301436119 is a prime.

It is a super-2 number, since 2×102123014443112 (a number of 27 digits) contains 22 as substring.

10212301444311 is a modest number, since divided by 1444311 gives 102123 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212201444311) 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 47 ways as a sum of consecutive naturals, for example, 560398146 + ... + 560416368.

It is an arithmetic number, because the mean of its divisors is an integer number (311259723840).

Almost surely, 210212301444311 is an apocalyptic number.

10212301444311 is a deficient number, since it is larger than the sum of its proper divisors (4728165300009).

10212301444311 is a wasteful number, since it uses less digits than its factorization.

10212301444311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20316 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10212301444311 its reverse (11344410321201), we get a palindrome (21556711765512).

The spelling of 10212301444311 in words is "ten trillion, two hundred twelve billion, three hundred one million, four hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 9 107 321 359 963 1077 1621 3231 4863 14589 18223 38413 54669 115239 164007 173447 345717 520341 581939 1561023 1745817 1949861 5237451 5849583 6542057 17548749 19626171 29539483 58878513 62267473 88618449 186802419 265855347 560407257 700000099 2100000297 3160724681 6300000891 9482174043 10604674397 28446522129 31814023191 95442069573 1134700160479 3404100481437 10212301444311