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211220211213131 = 1237635332687611
BaseRepresentation
bin110000000001101010001001…
…101010001010001101001011
31000200212110021200112102120112
4300001222021222022031023
5210141112443032310011
62025121120411344535
762330104511110601
oct6001521152121513
91020773250472515
10211220211213131
1161334a96803a8a
121b833a8545214b
1390b1c9908bac3
143a23181623871
1519644c825a58b
hexc01a89a8a34b

211220211213131 has 8 divisors (see below), whose sum is σ = 211394369120304. Its totient is φ = 211046058810720.

The previous prime is 211220211213073. The next prime is 211220211213139. The reversal of 211220211213131 is 131312112022112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211220211213131 is a prime.

It is a super-2 number, since 2×2112202112131312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211220211213097 and 211220211213106.

It is not an unprimeable number, because it can be changed into a prime (211220211213139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77246516 + ... + 79934126.

It is an arithmetic number, because the mean of its divisors is an integer number (26424296140038).

Almost surely, 2211220211213131 is an apocalyptic number.

211220211213131 is a deficient number, since it is larger than the sum of its proper divisors (174157907173).

211220211213131 is a wasteful number, since it uses less digits than its factorization.

211220211213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752381.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 211220211213131 its reverse (131312112022112), we get a palindrome (342532323235243).

The spelling of 211220211213131 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred eleven million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 1237 63533 2687611 78590321 3324574807 170751989663 211220211213131