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10212202311 = 3173143150217
BaseRepresentation
bin10011000001011000…
…11101011101000111
3222100201001121222020
421200230131131013
5131403310433221
64405202534223
7511032200403
oct114054353507
928321047866
1010212202311
114370581823
121b90067373
13c6995787c
146cc400103
153eb827ac6
hex260b1d747

10212202311 has 32 divisors (see below), whose sum is σ = 15228499968. Its totient is φ = 6056709120.

The previous prime is 10212202309. The next prime is 10212202321. The reversal of 10212202311 is 11320221201.

10212202311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212202311 - 21 = 10212202309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212202321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7126 + ... + 143091.

It is an arithmetic number, because the mean of its divisors is an integer number (475890624).

Almost surely, 210212202311 is an apocalyptic number.

10212202311 is a deficient number, since it is larger than the sum of its proper divisors (5016297657).

10212202311 is a wasteful number, since it uses less digits than its factorization.

10212202311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150311.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10212202311 its reverse (11320221201), we get a palindrome (21532423512).

The spelling of 10212202311 in words is "ten billion, two hundred twelve million, two hundred two thousand, three hundred eleven".

Divisors: 1 3 17 31 43 51 93 129 527 731 1333 1581 2193 3999 22661 67983 150217 450651 2553689 4656727 6459331 7661067 13970181 19377993 79164359 109808627 200239261 237493077 329425881 600717783 3404067437 10212202311