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1211331132011 = 7112132319312477
BaseRepresentation
bin10001101000001000111…
…101100011101001101011
311021210122202020020221102
4101220020331203221223
5124321301232211021
62324251114032015
7153341625510230
oct21501075435153
94253582206842
101211331132011
114277a4932300
1217692041860b
138a2c6cc0450
14428b3393787
152179988800b
hex11a08f63a6b

1211331132011 has 96 divisors (see below), whose sum is σ = 1711548969984. Its totient is φ = 832637203200.

The previous prime is 1211331131987. The next prime is 1211331132013. The reversal of 1211331132011 is 1102311331121.

It is not a de Polignac number, because 1211331132011 - 230 = 1210257390187 is a prime.

It is a super-2 number, since 2×12113311320112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211331132013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489030305 + ... + 489032781.

It is an arithmetic number, because the mean of its divisors is an integer number (17828635104).

Almost surely, 21211331132011 is an apocalyptic number.

1211331132011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1211331132011 is a deficient number, since it is larger than the sum of its proper divisors (500217837973).

1211331132011 is a wasteful number, since it uses less digits than its factorization.

1211331132011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1211331132011 its reverse (1102311331121), we get a palindrome (2313642463132).

The spelling of 1211331132011 in words is "one trillion, two hundred eleven billion, three hundred thirty-one million, one hundred thirty-two thousand, eleven".

Divisors: 1 7 11 13 23 77 91 121 143 161 253 299 847 1001 1573 1771 1931 2093 2477 2783 3289 11011 13517 17339 19481 21241 23023 25103 27247 32201 36179 44413 56971 148687 175721 190729 225407 233651 253253 276133 299717 310891 354211 398797 488543 577369 626681 740623 1635557 1932931 2098019 2479477 3037463 3419801 3896321 4041583 4386767 4783087 5184361 5373973 6351059 6893491 8146853 21262241 27274247 33481609 37617811 44457413 48254437 52613957 57027971 62180131 69861649 89615383 110011001 368297699 435260917 489031543 578753527 627307681 683981441 770077007 1210121011 1430143013 4051274689 4787870087 7523795851 8470847077 10011001091 13311331121 15731573143 52666570957 93179317847 110121012001 173047304573 1211331132011