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122300413011 = 3271941276397
BaseRepresentation
bin111000111100110101…
…1000011010001010011
3102200200022210200220100
41301321223003101103
54000432401204021
6132103430143443
711556501233610
oct1617153032123
9380608720810
10122300413011
114795a4384a7
121b8521b1b83
13b6c09754ba
145cc2a81507
1532abe09626
hex1c79ac3453

122300413011 has 12 divisors (see below), whose sum is σ = 201892745392. Its totient is φ = 69885950256.

The previous prime is 122300412991. The next prime is 122300413019. The reversal of 122300413011 is 110314003221.

122300413011 is a `hidden beast` number, since 1 + 22 + 300 + 41 + 301 + 1 = 666.

It is not a de Polignac number, because 122300413011 - 219 = 122299888723 is a prime.

It is a super-2 number, since 2×1223004130112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122300413019) 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 11 ways as a sum of consecutive naturals, for example, 970638136 + ... + 970638261.

Almost surely, 2122300413011 is an apocalyptic number.

122300413011 is a deficient number, since it is larger than the sum of its proper divisors (79592332381).

122300413011 is a wasteful number, since it uses less digits than its factorization.

122300413011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941276410 (or 1941276407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122300413011 its reverse (110314003221), we get a palindrome (232614416232).

The spelling of 122300413011 in words is "one hundred twenty-two billion, three hundred million, four hundred thirteen thousand, eleven".

Divisors: 1 3 7 9 21 63 1941276397 5823829191 13588934779 17471487573 40766804337 122300413011