Search a number
-
+
233131031012020 = 22529537583963273
BaseRepresentation
bin110101000000100000001100…
…010010100010001010110100
31010120110002221101120011201211
4311000200030102202022310
5221024104322414341040
62143454530033331204
7100051106164341331
oct6500401422421264
91116402841504654
10233131031012020
1168312351324859
1222192432706b04
13a0112148aa51b
14417d860273988
151be4416bca8ea
hexd4080c4a22b4

233131031012020 has 48 divisors (see below), whose sum is σ = 516012861162960. Its totient is φ = 88338004192256.

The previous prime is 233131031011943. The next prime is 233131031012041. The reversal of 233131031012020 is 20210130131332.

It can be written as a sum of positive squares in 8 ways, for example, as 33070149904 + 233097960862116 = 181852^2 + 15267546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233131031011982 and 233131031012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3791950897 + ... + 3792012376.

It is an arithmetic number, because the mean of its divisors is an integer number (10750267940895).

Almost surely, 2233131031012020 is an apocalyptic number.

233131031012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131031012020 is an abundant number, since it is smaller than the sum of its proper divisors (282881830150940).

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

233131031012020 is a wasteful number, since it uses less digits than its factorization.

233131031012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583963364 (or 7583963362 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233131031012020 its reverse (20210130131332), we get a palindrome (253341161143352).

The spelling of 233131031012020 in words is "two hundred thirty-three trillion, one hundred thirty-one billion, thirty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 3074 6148 7685 15370 30740 7583963273 15167926546 30335853092 37919816365 75839632730 151679265460 219934934917 401950053469 439869869834 803900106938 879739739668 1099674674585 1607800213876 2009750267345 2199349349170 4019500534690 4398698698340 8039001069380 11656551550601 23313103101202 46626206202404 58282757753005 116565515506010 233131031012020