Search a number
-
+
10221314441401 = 72971709173277
BaseRepresentation
bin1001010010111101010111…
…0100010000000010111001
31100012010222222101202012101
42110233111310100002321
52314431222444111101
633423335041343401
72103315462144010
oct224572564200271
940163888352171
1010221314441401
113290920595548
121190b61637b61
13591b342755ab
142749ddcd5a77
1512ad2e727401
hex94bd5d100b9

10221314441401 has 16 divisors (see below), whose sum is σ = 12254514243840. Its totient is φ = 8339877725760.

The previous prime is 10221314441381. The next prime is 10221314441417. The reversal of 10221314441401 is 10414441312201.

It is a happy number.

It is not a de Polignac number, because 10221314441401 - 211 = 10221314439353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221314441401.

It is not an unprimeable number, because it can be changed into a prime (10221314441461) 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, 354572226 + ... + 354601051.

It is an arithmetic number, because the mean of its divisors is an integer number (765907140240).

Almost surely, 210221314441401 is an apocalyptic number.

It is an amenable number.

10221314441401 is a deficient number, since it is larger than the sum of its proper divisors (2033199802439).

10221314441401 is an equidigital number, since it uses as much as digits as its factorization.

10221314441401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709173384.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 10221314441401 its reverse (10414441312201), we get a palindrome (20635755753602).

The spelling of 10221314441401 in words is "ten trillion, two hundred twenty-one billion, three hundred fourteen million, four hundred forty-one thousand, four hundred one".

Divisors: 1 7 29 71 203 497 2059 14413 709173277 4964212939 20566025033 50351302667 143962175231 352459118669 1460187777343 10221314441401