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1211323332131 = 11607265768279
BaseRepresentation
bin10001101000001000011…
…111110011011000100011
311021210122012112222111222
4101220020133303120203
5124321242233112011
62324250234525255
7153341502303113
oct21501037633043
94253565488458
101211323332131
114277a0495120
1217691989682b
138a2c54bc133
14428b2323043
1521798d46ddb
hex11a087f3623

1211323332131 has 16 divisors (see below), whose sum is σ = 1324138199040. Its totient is φ = 1098958990080.

The previous prime is 1211323332127. The next prime is 1211323332133. The reversal of 1211323332131 is 1312333231121.

It is a cyclic number.

It is not a de Polignac number, because 1211323332131 - 22 = 1211323332127 is a prime.

It is a super-2 number, since 2×12113233321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1211323332131.

It is not an unprimeable number, because it can be changed into a prime (1211323332133) 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 15 ways as a sum of consecutive naturals, for example, 17706650 + ... + 17774928.

It is an arithmetic number, because the mean of its divisors is an integer number (82758637440).

Almost surely, 21211323332131 is an apocalyptic number.

1211323332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1211323332131 is a deficient number, since it is larger than the sum of its proper divisors (112814866909).

1211323332131 is a wasteful number, since it uses less digits than its factorization.

1211323332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71554.

The product of its digits is 1944, while the sum is 26.

Adding to 1211323332131 its reverse (1312333231121), we get a palindrome (2523656563252).

The spelling of 1211323332131 in words is "one trillion, two hundred eleven billion, three hundred twenty-three million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 607 2657 6677 29227 68279 751069 1612799 17740789 41445353 181417303 455898883 1995590333 110120302921 1211323332131