Search a number
-
+
1031232122120 = 235122920977057
BaseRepresentation
bin11110000000110100011…
…10010110110100001000
310122120210100011121122202
433000122032112310020
5113343430410401440
62105424055135332
7134334615260444
oct17003216266410
93576710147582
101031232122120
11368385715572
12147a39674548
13763249c0c85
1437caa383824
151bc58623615
hexf01a396d08

1031232122120 has 32 divisors (see below), whose sum is σ = 2322160320600. Its totient is φ = 412157196288.

The previous prime is 1031232122111. The next prime is 1031232122147. The reversal of 1031232122120 is 212212321301.

It can be written as a sum of positive squares in 4 ways, for example, as 1020588898564 + 10643223556 = 1010242^2 + 103166^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1031232122092 and 1031232122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10439369 + ... + 10537688.

Almost surely, 21031232122120 is an apocalyptic number.

1031232122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031232122120 is an abundant number, since it is smaller than the sum of its proper divisors (1290928198480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031232122120 is a wasteful number, since it uses less digits than its factorization.

1031232122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978297 (or 20978293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1031232122120 its reverse (212212321301), we get a palindrome (1243444443421).

The spelling of 1031232122120 in words is "one trillion, thirty-one billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1229 2458 4916 6145 9832 12290 24580 49160 20977057 41954114 83908228 104885285 167816456 209770570 419541140 839082280 25780803053 51561606106 103123212212 128904015265 206246424424 257808030530 515616061060 1031232122120