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1131312022011 = 327113267133447
BaseRepresentation
bin10000011101100111011…
…100111000000111111011
311000011010002011021221200
4100131213130320013323
5122013411334201021
62223414554505243
7144506652344313
oct20354734700773
94004102137850
101131312022011
113a6872163636
1216330a135223
13828b3c27352
143ca81c82443
151e664892126
hex107677381fb

1131312022011 has 24 divisors (see below), whose sum is σ = 1657270427904. Its totient is φ = 743523747120.

The previous prime is 1131312021989. The next prime is 1131312022067. The reversal of 1131312022011 is 1102202131311.

1131312022011 is a `hidden beast` number, since 1 + 1 + 313 + 120 + 220 + 11 = 666.

It is not a de Polignac number, because 1131312022011 - 218 = 1131311759867 is a prime.

It is a super-2 number, since 2×11313120220112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131312022081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8410890 + ... + 8544336.

It is an arithmetic number, because the mean of its divisors is an integer number (69052934496).

Almost surely, 21131312022011 is an apocalyptic number.

1131312022011 is a deficient number, since it is larger than the sum of its proper divisors (525958405893).

1131312022011 is a wasteful number, since it uses less digits than its factorization.

1131312022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146791 (or 146788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1131312022011 its reverse (1102202131311), we get a palindrome (2233514153322).

The spelling of 1131312022011 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, twenty-two thousand, eleven".

Divisors: 1 3 9 71 213 639 13267 39801 119403 133447 400341 941957 1201023 2825871 8477613 9474737 28424211 85272633 1770441349 5311324047 15933972141 125701335779 377104007337 1131312022011