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11331131121321 = 3111793367956957
BaseRepresentation
bin1010010011100011110000…
…0010111001111010101001
31111010020122000021112011220
42210320330002321322221
52441122124031340241
640033241052412253
72246434664236434
oct244707402717251
944106560245156
1011331131121321
113679562130450
121330070a77089
136426a0a73bbb
142b260304281b
15149b36e24166
hexa4e3c0b9ea9

11331131121321 has 32 divisors (see below), whose sum is σ = 16574504601600. Its totient is φ = 6828664438080.

The previous prime is 11331131121227. The next prime is 11331131121329. The reversal of 11331131121321 is 12312113113311.

11331131121321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331131121321 - 237 = 11193692167849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331131121291 and 11331131121300.

It is not an unprimeable number, because it can be changed into a prime (11331131121329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198913375 + ... + 198970331.

It is an arithmetic number, because the mean of its divisors is an integer number (517953268800).

Almost surely, 211331131121321 is an apocalyptic number.

11331131121321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331131121321 is a deficient number, since it is larger than the sum of its proper divisors (5243373480279).

11331131121321 is a wasteful number, since it uses less digits than its factorization.

11331131121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90829.

The product of its digits is 324, while the sum is 24.

Adding to 11331131121321 its reverse (12312113113311), we get a palindrome (23643244234632).

The spelling of 11331131121321 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 179 537 1969 5907 33679 56957 101037 170871 370469 626527 1111407 1879581 6028541 10195303 18085623 30585909 66313951 112148333 198941853 336444999 1918254803 5754764409 21100802833 63302408499 343367609737 1030102829211 3777043707107 11331131121321