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211142320321 = 3179300128729
BaseRepresentation
bin1100010010100100010…
…0000010000011000001
3202011222212112012111211
43010221010002003001
511424404413222241
6240555240410121
721153206052622
oct3045104020301
9664885465454
10211142320321
11815aa376399
1234b07176941
1316bab88701a
14a30dc3ba49
15575b777781
hex31291020c1

211142320321 has 16 divisors (see below), whose sum is σ = 220793497600. Its totient is φ = 201670560000.

The previous prime is 211142320303. The next prime is 211142320327. The reversal of 211142320321 is 123023241112.

It is a cyclic number.

It is not a de Polignac number, because 211142320321 - 233 = 202552385729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211142320292 and 211142320301.

It is not an unprimeable number, because it can be changed into a prime (211142320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7335085 + ... + 7363813.

It is an arithmetic number, because the mean of its divisors is an integer number (13799593600).

Almost surely, 2211142320321 is an apocalyptic number.

It is an amenable number.

211142320321 is a deficient number, since it is larger than the sum of its proper divisors (9651177279).

211142320321 is a wasteful number, since it uses less digits than its factorization.

211142320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211142320321 its reverse (123023241112), we get a palindrome (334165561433).

The spelling of 211142320321 in words is "two hundred eleven billion, one hundred forty-two million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 31 79 2449 3001 28729 93031 237079 890599 2269591 7349449 70357321 86215729 2672687599 6811042591 211142320321