Search a number
-
+
10222201211201 = 72412943113159
BaseRepresentation
bin1001010011000000101010…
…1011000000100101000001
31100012020021210000022200022
42110300022223000211001
52314440032002224301
633424003040103225
72103346450440500
oct224601253004501
940166253008608
1010222201211201
113291236100851
12119116a604b15
13591c45bb9055
14274a859aa837
1512ad824ddd1b
hex94c0aac0941

10222201211201 has 36 divisors (see below), whose sum is σ = 12190452160320. Its totient is φ = 8546626267200.

The previous prime is 10222201211191. The next prime is 10222201211227. The reversal of 10222201211201 is 10211210222201.

It is a de Polignac number, because none of the positive numbers 2k-10222201211201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222201211201.

It is not an unprimeable number, because it can be changed into a prime (10222201211801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776815460 + ... + 776828618.

It is an arithmetic number, because the mean of its divisors is an integer number (338623671120).

Almost surely, 210222201211201 is an apocalyptic number.

It is an amenable number.

10222201211201 is a deficient number, since it is larger than the sum of its proper divisors (1968250949119).

10222201211201 is an equidigital number, since it uses as much as digits as its factorization.

10222201211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22686 (or 22638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10222201211201 its reverse (10211210222201), we get a palindrome (20433411433402).

The spelling of 10222201211201 in words is "ten trillion, two hundred twenty-two billion, two hundred one million, two hundred eleven thousand, two hundred one".

Divisors: 1 7 41 49 287 1681 2009 9431 11767 13159 66017 82369 92113 386671 462119 539519 644791 2706697 3776633 15853511 18946879 22120279 26436431 110974577 124102529 154841953 776822039 868717703 1083893671 5088203689 6081023921 35617425823 208616351249 249321980761 1460314458743 10222201211201