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10222333322201 = 7111310212121201
BaseRepresentation
bin1001010011000001001010…
…0010111110001111011001
31100012020121222121020220022
42110300102202332033121
52314440314312302301
633424024115440225
72103352643402660
oct224602242761731
940166558536808
1010222333322201
1132912a37347a0
1211911a68b6075
13591c67393640
14274a99359dd7
1512ad8ddd7d1b
hex94c128be3d9

10222333322201 has 16 divisors (see below), whose sum is σ = 13725090895488. Its totient is φ = 7352727264000.

The previous prime is 10222333322183. The next prime is 10222333322293.

10222333322201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10222333322201 - 26 = 10222333322137 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10222333322701) 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, 5106059600 + ... + 5106061601.

It is an arithmetic number, because the mean of its divisors is an integer number (857818180968).

Almost surely, 210222333322201 is an apocalyptic number.

10222333322201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222333322201 is a deficient number, since it is larger than the sum of its proper divisors (3502757573287).

10222333322201 is a wasteful number, since it uses less digits than its factorization.

10222333322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212121232.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1022233 and 3322201, that added together give a palindrome (4344434).

The spelling of 10222333322201 in words is "ten trillion, two hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 1001 10212121201 71484848407 112333333211 132757575613 786333332477 929303029291 1460333331743 10222333322201