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1131021211311 = 3521126982003
BaseRepresentation
bin10000011101010110000…
…111100001011010101111
311000010100210221120200000
4100131112013201122233
5122012312412230221
62223330045435343
7144466521446565
oct20352607413257
94003323846600
101131021211311
113a6732a96212
1216324886bb53
13828688c6104
143ca553c1a35
151e64909ae26
hex107561e16af

1131021211311 has 48 divisors (see below), whose sum is σ = 1708582861440. Its totient is φ = 747641754720.

The previous prime is 1131021211297. The next prime is 1131021211349. The reversal of 1131021211311 is 1131121201311.

1131021211311 is a `hidden beast` number, since 1 + 1 + 310 + 21 + 21 + 1 + 311 = 666.

It is not a de Polignac number, because 1131021211311 - 210 = 1131021210287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131021211361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13751436 + ... + 13833438.

It is an arithmetic number, because the mean of its divisors is an integer number (35595476280).

Almost surely, 21131021211311 is an apocalyptic number.

1131021211311 is a deficient number, since it is larger than the sum of its proper divisors (577561650129).

1131021211311 is an equidigital number, since it uses as much as digits as its factorization.

1131021211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82498 (or 82486 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1131021211311 its reverse (1131121201311), we get a palindrome (2262142412622).

The spelling of 1131021211311 in words is "one trillion, one hundred thirty-one billion, twenty-one million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 27 81 211 243 269 633 807 1899 2421 5697 7263 17091 21789 51273 56759 65367 82003 170277 246009 510831 738027 1532493 2214081 4597479 6642243 13792437 17302633 19926729 22058807 51907899 66176421 155723697 198529263 467171091 595587789 1401513273 1786763367 4204539819 4654408277 5360290101 13963224831 41889674493 125669023479 377007070437 1131021211311