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1322011141231 = 112191316596661
BaseRepresentation
bin10011001111001110000…
…000010010010001101111
311200101100020012021121011
4103033032000102101233
5133124434323004411
62451153514450051
7164340445201654
oct23171600222157
94611306167534
101322011141231
1146a730908400
1219426aa33927
139788534a571
1447db29c9c2b
15245c6504c21
hex133ce01246f

1322011141231 has 48 divisors (see below), whose sum is σ = 1543846550400. Its totient is φ = 1127998872000.

The previous prime is 1322011141219. The next prime is 1322011141249. The reversal of 1322011141231 is 1321411102231.

It is not a de Polignac number, because 1322011141231 - 219 = 1322010616943 is a prime.

It is a super-2 number, since 2×13220111412312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322011141201) 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 47 ways as a sum of consecutive naturals, for example, 198467041 + ... + 198473701.

It is an arithmetic number, because the mean of its divisors is an integer number (32163469800).

Almost surely, 21322011141231 is an apocalyptic number.

1322011141231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1322011141231 is a deficient number, since it is larger than the sum of its proper divisors (221835409169).

1322011141231 is a wasteful number, since it uses less digits than its factorization.

1322011141231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1322011141231 its reverse (1321411102231), we get a palindrome (2643422243462).

The spelling of 1322011141231 in words is "one trillion, three hundred twenty-two billion, eleven million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 11 19 121 131 209 659 1441 2299 2489 6661 7249 12521 15851 27379 73271 79739 86329 126559 137731 301169 805981 872591 949619 1392149 1515041 1640251 4389599 9598501 10445809 15313639 16579229 18042761 48285589 83402381 105583511 182371519 198470371 531141479 575037469 917426191 2006086709 6325412159 10091688101 10925711911 69579533749 120182831021 1322011141231