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122023320221 = 1123352379091
BaseRepresentation
bin111000110100100101…
…0000001101010011101
3102122222000101221001102
41301221022001222131
53444400432221341
6132020131122445
711546565052115
oct1615112015235
9378860357042
10122023320221
1147827a8a5a0
121b795443425
13b67843817a
145c97d52045
153292922c9b
hex1c69281a9d

122023320221 has 16 divisors (see below), whose sum is σ = 133727899968. Its totient is φ = 110420956800.

The previous prime is 122023320217. The next prime is 122023320233.

It is a happy number.

122023320221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122023320221 - 22 = 122023320217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122023320193 and 122023320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122023320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13417886 + ... + 13426976.

It is an arithmetic number, because the mean of its divisors is an integer number (8357993748).

Almost surely, 2122023320221 is an apocalyptic number.

122023320221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122023320221 is a deficient number, since it is larger than the sum of its proper divisors (11704579747).

122023320221 is a wasteful number, since it uses less digits than its factorization.

122023320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14572.

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

It can be divided in two parts, 122023 and 320221, that added together give a palindrome (442244).

The spelling of 122023320221 in words is "one hundred twenty-two billion, twenty-three million, three hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 233 2563 5237 9091 57607 100001 1220221 2118203 13422431 23300233 47609567 523705237 11093029111 122023320221