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2032130131031 = 7111311328196373
BaseRepresentation
bin11101100100100100011…
…001010000010001010111
321012021021122100121210002
4131210210121100101113
5231243300303143111
64153314145121515
7266550036053330
oct35444431202127
97167248317702
102032130131031
11713904532890
12289a1032929b
13119824036b20
14704d9b89287
1537cd8b2163b
hex1d924650457

2032130131031 has 64 divisors (see below), whose sum is σ = 2754008570880. Its totient is φ = 1447995709440.

The previous prime is 2032130131019. The next prime is 2032130131121. The reversal of 2032130131031 is 1301310312302.

It is a de Polignac number, because none of the positive numbers 2k-2032130131031 is a prime.

It is a super-2 number, since 2×20321301310312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032130130994 and 2032130131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032130131331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318862361 + ... + 318868733.

It is an arithmetic number, because the mean of its divisors is an integer number (43031383920).

Almost surely, 22032130131031 is an apocalyptic number.

2032130131031 is a deficient number, since it is larger than the sum of its proper divisors (721878439849).

2032130131031 is a wasteful number, since it uses less digits than its factorization.

2032130131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9336.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2032130131031 its reverse (1301310312302), we get a palindrome (3333440443333).

The spelling of 2032130131031 in words is "two trillion, thirty-two billion, one hundred thirty million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 7 11 13 77 91 113 143 791 1001 1243 1469 2819 6373 8701 10283 16159 19733 31009 36647 44611 70103 82849 113113 217063 256529 318547 403117 490721 579943 720149 911339 2229829 2821819 3504017 4141111 5041043 6379373 7921639 9361937 17965487 24528119 28987777 45552221 55451473 65533559 102981307 125758409 197620357 233551331 318865547 720869149 1383342499 1634859317 2030100031 2569064641 14210700217 17983452487 22331100341 26391300403 156317702387 184739102821 290304304433 2032130131031