Search a number
-
+
2131433131431 = 310149114479901
BaseRepresentation
bin11111000001000011010…
…100001000110110100111
321112202121020110201022210
4133001003110020312213
5234410133340201211
64311100013054503
7306663620455122
oct37010324106647
97482536421283
102131433131431
11751a3248885a
122a5104787433
13125cbb317a66
147523a4133b9
153a69ba7c9a6
hex1f043508da7

2131433131431 has 32 divisors (see below), whose sum is σ = 2878172038656. Its totient is φ = 1402909200000.

The previous prime is 2131433131427. The next prime is 2131433131463. The reversal of 2131433131431 is 1341313341312.

It is a happy number.

It is not a de Polignac number, because 2131433131431 - 22 = 2131433131427 is a prime.

It is a super-2 number, since 2×21314331314312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131433151431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215269581 + ... + 215279481.

It is an arithmetic number, because the mean of its divisors is an integer number (89942876208).

Almost surely, 22131433131431 is an apocalyptic number.

2131433131431 is a deficient number, since it is larger than the sum of its proper divisors (746738907225).

2131433131431 is a wasteful number, since it uses less digits than its factorization.

2131433131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943.

The product of its digits is 7776, while the sum is 30.

Adding to 2131433131431 its reverse (1341313341312), we get a palindrome (3472746472743).

The spelling of 2131433131431 in words is "two trillion, one hundred thirty-one billion, four hundred thirty-three million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 101 303 491 1447 1473 4341 9901 29703 49591 146147 148773 438441 710477 1000001 2131431 3000003 4861391 14326747 14584173 42980241 71758177 215274531 491000491 1447001447 1473001473 4341004341 7034432777 21103298331 710477710477 2131433131431