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2220234013141 = 17413379452269
BaseRepresentation
bin100000010011110000010…
…000100111100111010101
321212020210220222220101121
4200103300100213213111
5242334014401410031
64415543400123541
7316256316505024
oct40236020474725
97766726886347
102220234013141
117866612455a1
122ba367a665b1
131314a0893c91
1479661d708bb
153cb479e5011
hex204f04279d5

2220234013141 has 16 divisors (see below), whose sum is σ = 2415319648560. Its totient is φ = 2032615710720.

The previous prime is 2220234013111. The next prime is 2220234013157. The reversal of 2220234013141 is 1413104320222.

It can be written as a sum of positive squares in 8 ways, for example, as 345588100 + 2219888425041 = 18590^2 + 1489929^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220234013141 - 29 = 2220234012629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220234013111) 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, 4491246 + ... + 4961023.

It is an arithmetic number, because the mean of its divisors is an integer number (150957478035).

Almost surely, 22220234013141 is an apocalyptic number.

It is an amenable number.

2220234013141 is a deficient number, since it is larger than the sum of its proper divisors (195085635419).

2220234013141 is a wasteful number, since it uses less digits than its factorization.

2220234013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452664.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2220234013141 its reverse (1413104320222), we get a palindrome (3633338333363).

The spelling of 2220234013141 in words is "two trillion, two hundred twenty billion, two hundred thirty-four million, thirteen thousand, one hundred forty-one".

Divisors: 1 17 41 337 697 5729 13817 234889 9452269 160688573 387543029 3185414653 6588231493 54152049101 130602000773 2220234013141