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1211311331223 = 371713032604013
BaseRepresentation
bin10001101000000111110…
…010000001011110010111
311021210121100222021100220
4101220013302001132113
5124321231200044343
62324245125405423
7153341265301050
oct21500762013627
94253540867326
101211311331223
11427794738714
12176915869873
138a2c2b798c6
14428b08bb727
1521797c76183
hex11a07c81797

1211311331223 has 32 divisors (see below), whose sum is σ = 1955885331456. Its totient is φ = 650961335808.

The previous prime is 1211311331177. The next prime is 1211311331231. The reversal of 1211311331223 is 3221331131121.

It is not a de Polignac number, because 1211311331223 - 210 = 1211311330199 is a prime.

It is a super-2 number, since 2×12113113312232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211311331193 and 1211311331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211311331273) 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 31 ways as a sum of consecutive naturals, for example, 836836 + ... + 1767177.

It is an arithmetic number, because the mean of its divisors is an integer number (61121416608).

Almost surely, 21211311331223 is an apocalyptic number.

1211311331223 is a deficient number, since it is larger than the sum of its proper divisors (744574000233).

1211311331223 is a wasteful number, since it uses less digits than its factorization.

1211311331223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605343.

The product of its digits is 648, while the sum is 24.

Adding to 1211311331223 its reverse (3221331131121), we get a palindrome (4432642462344).

The spelling of 1211311331223 in words is "one trillion, two hundred eleven billion, three hundred eleven million, three hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 7 17 21 51 119 357 1303 3909 9121 22151 27363 66453 155057 465171 2604013 7812039 18228091 44268221 54684273 132804663 309877547 929632641 3393028939 10179086817 23751202573 57681491963 71253607719 173044475889 403770443741 1211311331223