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1221001442331 = 3112311071014061
BaseRepresentation
bin10001110001001001010…
…110110111010000011011
311022201121200121220211220
4101301021112313100123
5130001102332123311
62332530442223123
7154133361005616
oct21611126672033
94281550556756
101221001442331
11430907534600
1217877aab4aa3
138b1a85b6168
144314d81517d
1521b63820206
hex11c495b741b

1221001442331 has 48 divisors (see below), whose sum is σ = 1864446280704. Its totient is φ = 709436376000.

The previous prime is 1221001442293. The next prime is 1221001442357. The reversal of 1221001442331 is 1332441001221.

It is not a de Polignac number, because 1221001442331 - 211 = 1221001440283 is a prime.

It is a super-2 number, since 2×12210014423312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221001444331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697041 + ... + 1711101.

It is an arithmetic number, because the mean of its divisors is an integer number (38842630848).

Almost surely, 21221001442331 is an apocalyptic number.

1221001442331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221001442331 is a deficient number, since it is larger than the sum of its proper divisors (643444838373).

1221001442331 is a wasteful number, since it uses less digits than its factorization.

1221001442331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014224 (or 1014213 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1221001442331 its reverse (1332441001221), we get a palindrome (2553442443552).

The spelling of 1221001442331 in words is "one trillion, two hundred twenty-one billion, one million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 31 33 93 107 121 321 341 363 1023 1177 3317 3531 3751 9951 11253 12947 36487 38841 109461 401357 1014061 1204071 3042183 11154671 31435891 33464013 94307673 108504527 122701381 325513581 345794801 368104143 1037384403 1193549797 3363640337 3580649391 3803742811 10090921011 11411228433 13129047767 37000043707 39387143301 111000131121 407000480777 1221001442331