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122101252041 = 3463124970381
BaseRepresentation
bin111000110110111001…
…1010011111111001001
3102200011110001021102010
41301231303103333021
54000030410031131
6132031553330133
711551532342436
oct1615563237711
9380143037363
10122101252041
1147867a7895a
121b7b7566949
13b68b623082
145ca443ab8d
1532996b8b46
hex1c6dcd3fc9

122101252041 has 16 divisors (see below), whose sum is σ = 163286240000. Its totient is φ = 81158837760.

The previous prime is 122101252037. The next prime is 122101252099. The reversal of 122101252041 is 140252101221.

It is not a de Polignac number, because 122101252041 - 22 = 122101252037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122101251999 and 122101252017.

It is not an unprimeable number, because it can be changed into a prime (122101242041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699671 + ... + 1770051.

It is an arithmetic number, because the mean of its divisors is an integer number (10205390000).

Almost surely, 2122101252041 is an apocalyptic number.

It is an amenable number.

122101252041 is a deficient number, since it is larger than the sum of its proper divisors (41184987959).

122101252041 is a wasteful number, since it uses less digits than its factorization.

122101252041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72096.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 122101252041 its reverse (140252101221), we get a palindrome (262353353262).

The spelling of 122101252041 in words is "one hundred twenty-two billion, one hundred one million, two hundred fifty-two thousand, forty-one".

Divisors: 1 3 463 1249 1389 3747 70381 211143 578287 1734861 32586403 87905869 97759209 263717607 40700417347 122101252041