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2131322313231 = 3537577410833
BaseRepresentation
bin11111000000111100101…
…101011001101000001111
321112202022111221120100000
4133000330231121220033
5234404422003010411
64311041013535343
7306661103515026
oct37007455315017
97482274846300
102131322313231
11751985978471
122a5093644553
13125ca1387167
14752298078bd
153a691e8c956
hex1f03cb59a0f

2131322313231 has 48 divisors (see below), whose sum is σ = 3284575103264. Its totient is φ = 1380080001024.

The previous prime is 2131322313163. The next prime is 2131322313271. The reversal of 2131322313231 is 1323132231312.

2131322313231 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 322 + 313 + 23 + 1 = 666.

It is not a de Polignac number, because 2131322313231 - 29 = 2131322312719 is a prime.

It is a super-2 number, since 2×21313223132312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2131322313195 and 2131322313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131322313271) 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, 4982391 + ... + 5393223.

Almost surely, 22131322313231 is an apocalyptic number.

2131322313231 is a deficient number, since it is larger than the sum of its proper divisors (1153252790033).

2131322313231 is an equidigital number, since it uses as much as digits as its factorization.

2131322313231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411462 (or 411450 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2131322313231 its reverse (1323132231312), we get a palindrome (3454454544543).

The spelling of 2131322313231 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 81 111 243 333 577 999 1731 2997 5193 8991 15579 21349 46737 64047 140211 192141 410833 576423 1232499 1729269 3697497 5187807 11092491 15200821 33277473 45602463 99832419 136807389 237050641 410422167 711151923 1231266501 2133455769 3693799503 6400367307 8770873717 19201101921 26312621151 57603305763 78937863453 236813590359 710440771077 2131322313231