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102331122000223 = 17231555011683053
BaseRepresentation
bin10111010001000111010010…
…001011010010000101011111
3111102022202111211121211022211
4113101013102023102011133
5101403043114213001343
61001350133553221251
730361115412204334
oct2721072213220537
9442282454554284
10102331122000223
112a6734266696a6
12b588559861827
134513a2518565c
141b3abd1c7698b
15bc6d0231479d
hex5d11d22d215f

102331122000223 has 16 divisors (see below), whose sum is σ = 113062289662656. Its totient is φ = 92123534272000.

The previous prime is 102331122000199. The next prime is 102331122000229. The reversal of 102331122000223 is 322000221133201.

It is a cyclic number.

It is not a de Polignac number, because 102331122000223 - 225 = 102331088445791 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102331122000194 and 102331122000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331122000229) 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, 59959365 + ... + 61642417.

It is an arithmetic number, because the mean of its divisors is an integer number (7066393103916).

Almost surely, 2102331122000223 is an apocalyptic number.

102331122000223 is a deficient number, since it is larger than the sum of its proper divisors (10731167662433).

102331122000223 is a wasteful number, since it uses less digits than its factorization.

102331122000223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838594.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102331122000223 its reverse (322000221133201), we get a palindrome (424331343133424).

The spelling of 102331122000223 in words is "one hundred two trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 17 23 391 155501 1683053 2643517 3576523 28611901 38710219 60800891 658073723 261716424553 4449179217401 6019477764719 102331122000223