Search a number
-
+
233131122020 = 225231732929519
BaseRepresentation
bin1101100100011110110…
…0101001110101100100
3211021202022100001210202
43121013230221311210
512304423031401040
6255033213010032
722562130561326
oct3310754516544
9737668301722
10233131122020
118a963493585
1239223183918
1318ca42b7ba4
14b3d8305616
1560e6de3015
hex3647b29d64

233131122020 has 48 divisors (see below), whose sum is σ = 513814371840. Its totient is φ = 88682368896.

The previous prime is 233131121999. The next prime is 233131122023. The reversal of 233131122020 is 20221131332.

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 = 233131121983 and 233131122001.

It is not an unprimeable number, because it can be changed into a prime (233131122023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385180 + ... + 1544339.

It is an arithmetic number, because the mean of its divisors is an integer number (10704466080).

Almost surely, 2233131122020 is an apocalyptic number.

233131122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131122020 is an abundant number, since it is smaller than the sum of its proper divisors (280683249820).

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

233131122020 is a wasteful number, since it uses less digits than its factorization.

233131122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929724 (or 2929722 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233131122020 its reverse (20221131332), we get a palindrome (253352253352).

The spelling of 233131122020 in words is "two hundred thirty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 173 230 346 460 692 865 1730 3460 3979 7958 15916 19895 39790 79580 2929519 5859038 11718076 14647595 29295190 58590380 67378937 134757874 269515748 336894685 506806787 673789370 1013613574 1347578740 2027227148 2534033935 5068067870 10136135740 11656556101 23313112202 46626224404 58282780505 116565561010 233131122020