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220322023121 = 41113449105913
BaseRepresentation
bin1100110100110000110…
…1110100011011010001
3210001200121202102102102
43031030031310123101
512102204414214441
6245114201330145
721626533203554
oct3151415643321
9701617672372
10220322023121
1185490046a32
1236849496955
1317a12635b25
14a94107069b
155ae75ee69b
hex334c3746d1

220322023121 has 16 divisors (see below), whose sum is σ = 228202304400. Its totient is φ = 212569620480.

The previous prime is 220322023109. The next prime is 220322023127. The reversal of 220322023121 is 121320223022.

It is a happy number.

220322023121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50218569025 + 170103454096 = 224095^2 + 412436^2 .

It is a cyclic number.

It is not a de Polignac number, because 220322023121 - 26 = 220322023057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220322023093 and 220322023102.

It is not an unprimeable number, because it can be changed into a prime (220322023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027261 + ... + 2133173.

It is an arithmetic number, because the mean of its divisors is an integer number (14262644025).

Almost surely, 2220322023121 is an apocalyptic number.

It is an amenable number.

220322023121 is a deficient number, since it is larger than the sum of its proper divisors (7880281279).

220322023121 is a wasteful number, since it uses less digits than its factorization.

220322023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106516.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220322023121 its reverse (121320223022), we get a palindrome (341642246143).

The spelling of 220322023121 in words is "two hundred twenty billion, three hundred twenty-two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 41 113 449 4633 18409 50737 105913 2080217 4342433 11968169 47554937 490694929 1949752417 5373707881 220322023121