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122321343123221 = 11223104294214503
BaseRepresentation
bin11011110100000000101000…
…001101001000111100010101
3121001002210202201101220120212
4123310000220031020330111
5112013103102314420341
61112053352124135205
734523265625155614
oct3364005015107425
9531083681356525
10122321343123221
1135a80210311700
1211876842397505
135333b12520828
14222c55549187b
15e21cd391a5eb
hex6f4028348f15

122321343123221 has 24 divisors (see below), whose sum is σ = 140311627290240. Its totient is φ = 106356160991520.

The previous prime is 122321343123191. The next prime is 122321343123281.

122321343123221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122321343123221 - 218 = 122321342861077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321343123281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26916656 + ... + 31131158.

It is an arithmetic number, because the mean of its divisors is an integer number (5846317803760).

Almost surely, 2122321343123221 is an apocalyptic number.

122321343123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122321343123221 is a deficient number, since it is larger than the sum of its proper divisors (17990284167019).

122321343123221 is a wasteful number, since it uses less digits than its factorization.

122321343123221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224977 (or 4224966 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 122321343123221 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, three hundred forty-three million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 11 23 121 253 2783 10429 114719 239867 1261909 2638537 4214503 29023907 46359533 96933569 509954863 1066269259 11728961849 43953051787 483483569657 1010920191101 5318319266227 11120122102111 122321343123221