Search a number
-
+
2031133313022 = 23117310113730467
BaseRepresentation
bin11101100011101000111…
…110101100011111111110
321012011201011200000112120
4131203220332230133332
5231234230112004042
64153031215543410
7266513243204352
oct35435076543776
97164634600476
102031133313022
11713442892750
1228979252ab66
131196c5672098
1470443629462
1537c7b36cdec
hex1d8e8fac7fe

2031133313022 has 128 divisors (see below), whose sum is σ = 4570012804608. Its totient is φ = 596646144000.

The previous prime is 2031133312997. The next prime is 2031133313101. The reversal of 2031133313022 is 2203133311302.

It is a junction number, because it is equal to n+sod(n) for n = 2031133312983 and 2031133313001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66651433 + ... + 66681899.

It is an arithmetic number, because the mean of its divisors is an integer number (35703225036).

Almost surely, 22031133313022 is an apocalyptic number.

2031133313022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031133313022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285006402304).

2031133313022 is an abundant number, since it is smaller than the sum of its proper divisors (2538879491586).

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

2031133313022 is a wasteful number, since it uses less digits than its factorization.

2031133313022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30794.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2031133313022 its reverse (2203133311302), we get a palindrome (4234266624324).

It can be divided in two parts, 20311 and 33313022, that added together give a palindrome (33333333).

The spelling of 2031133313022 in words is "two trillion, thirty-one billion, one hundred thirty-three million, three hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 73 101 137 146 202 219 274 303 411 438 606 803 822 1111 1507 1606 2222 2409 3014 3333 4521 4818 6666 7373 9042 10001 13837 14746 20002 22119 27674 30003 30467 41511 44238 60006 60934 81103 83022 91401 110011 152207 162206 182802 220022 243309 304414 330033 335137 456621 486618 660066 670274 913242 1005411 1010101 2010822 2020202 2224091 3030303 3077167 4173979 4448182 6060606 6154334 6672273 8347958 9231501 11111111 12521937 13344546 18463002 22222222 24465001 25043874 33333333 33848837 45913769 48930002 66666666 67697674 73395003 91827538 101546511 137741307 146790006 203093022 224633191 275482614 304700467 421571879 449266382 609400934 673899573 843143758 914101401 1264715637 1347799146 1828202802 2470965101 2529431274 3351705137 4637290669 4941930202 6703410274 7412895303 9274581338 10055115411 13911872007 14825790606 20110230822 27823744014 30774747167 61549494334 92324241501 184648483002 338522218837 677044437674 1015566656511 2031133313022