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2301132221322 = 2311233093149009
BaseRepresentation
bin100001011111000110001…
…010110010101110001010
322010222121212020200101020
4201133012022302232022
5300200204322040242
64521043041333310
7325152126103254
oct41370612625612
98128555220336
102301132221322
118079a516a790
12311b84637236
13138cc3b15a0c
147d53811acd4
153eccec896ec
hex217c62b2b8a

2301132221322 has 64 divisors (see below), whose sum is σ = 5239217617920. Its totient is φ = 666959673600.

The previous prime is 2301132221291. The next prime is 2301132221329. The reversal of 2301132221322 is 2231222311032.

It is a junction number, because it is equal to n+sod(n) for n = 2301132221292 and 2301132221301.

It is not an unprimeable number, because it can be changed into a prime (2301132221329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46928754 + ... + 46977762.

It is an arithmetic number, because the mean of its divisors is an integer number (81862775280).

Almost surely, 22301132221322 is an apocalyptic number.

2301132221322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2301132221322 is an abundant number, since it is smaller than the sum of its proper divisors (2938085396598).

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

2301132221322 is a wasteful number, since it uses less digits than its factorization.

2301132221322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79979.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2301132221322 its reverse (2231222311032), we get a palindrome (4532354532354).

The spelling of 2301132221322 in words is "two trillion, three hundred one billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 30931 49009 61862 92793 98018 147027 185586 294054 340241 539099 680482 711413 1020723 1078198 1127207 1422826 1617297 2041446 2134239 2254414 3234594 3381621 4268478 6763242 7825543 12399277 15651086 23476629 24798554 37197831 46953258 74395662 1515897379 3031794758 4547692137 9095384274 16674871169 33349742338 34865639717 50024613507 69731279434 100049227014 104596919151 209193838302 383522036887 767044073774 1150566110661 2301132221322