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122300321 = 11131945013
BaseRepresentation
bin1110100101000…
…10011110100001
322112010111111112
413102202132201
5222302102241
620045153105
73013351463
oct722423641
9275114445
10122300321
1163043050
1234b5b795
131c450c70
1412358133
15ab0c1eb
hex74a27a1

122300321 has 16 divisors (see below), whose sum is σ = 151247040. Its totient is φ = 97225920.

The previous prime is 122300293. The next prime is 122300323. The reversal of 122300321 is 123003221.

It is a happy number.

It is not a de Polignac number, because 122300321 - 26 = 122300257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122300296 and 122300305.

It is not an unprimeable number, because it can be changed into a prime (122300323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19790 + ... + 25223.

It is an arithmetic number, because the mean of its divisors is an integer number (9452940).

Almost surely, 2122300321 is an apocalyptic number.

122300321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122300321 is a deficient number, since it is larger than the sum of its proper divisors (28946719).

122300321 is a wasteful number, since it uses less digits than its factorization.

122300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45056.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 122300321 is about 11058.9475539040. The cubic root of 122300321 is about 496.3741986848.

Adding to 122300321 its reverse (123003221), we get a palindrome (245303542).

It can be divided in two parts, 1 and 22300321, that added together give a palindrome (22300322).

The spelling of 122300321 in words is "one hundred twenty-two million, three hundred thousand, three hundred twenty-one".

Divisors: 1 11 13 19 143 209 247 2717 45013 495143 585169 855247 6436859 9407717 11118211 122300321