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102022111010011 = 2379100237560159
BaseRepresentation
bin10111001100100111011111…
…101011111001110011011011
3111101020012220022221001211111
4113030213133223321303123
5101333012240404310021
61000552151043241151
730326566006135333
oct2714473753716333
9441205808831744
10102022111010011
112a564374a55055
12b53869a6791b7
1344c084a52929a
141b29c7a09c0c3
15bbdc68a078e1
hex5cc9dfaf9cdb

102022111010011 has 16 divisors (see below), whose sum is σ = 107806690713600. Its totient is φ = 96349963346208.

The previous prime is 102022111009991. The next prime is 102022111010047. The reversal of 102022111010011 is 110010111220201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102022111010011 - 211 = 102022111007963 is a prime.

It is a super-2 number, since 2×1020221110100112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022111009973 and 102022111010000.

It is not an unprimeable number, because it can be changed into a prime (102022111010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181850550 + ... + 182410708.

It is an arithmetic number, because the mean of its divisors is an integer number (6737918169600).

Almost surely, 2102022111010011 is an apocalyptic number.

102022111010011 is a deficient number, since it is larger than the sum of its proper divisors (5784579703589).

102022111010011 is a wasteful number, since it uses less digits than its factorization.

102022111010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660498.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102022111010011 its reverse (110010111220201), we get a palindrome (212032222230212).

The spelling of 102022111010011 in words is "one hundred two trillion, twenty-two billion, one hundred eleven million, ten thousand, eleven".

Divisors: 1 23 79 1817 100237 560159 2305451 7918723 12883657 44252561 182130629 1017808903 56148657683 1291419126709 4435743956957 102022111010011