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102221311023 = 32131015186069
BaseRepresentation
bin101111100110011011…
…1010110110000101111
3100202211222102122010100
41133030313112300233
53133322123423043
6114543153242143
710246065543636
oct1371467266057
9322758378110
10102221311023
113a3962a0a37
1217989863353
139840a93170
144d3a08851d
1529d4265cd3
hex17ccdd6c2f

102221311023 has 24 divisors (see below), whose sum is σ = 159028440480. Its totient is φ = 62898494400.

The previous prime is 102221311001. The next prime is 102221311043. The reversal of 102221311023 is 320113122201.

It is not a de Polignac number, because 102221311023 - 28 = 102221310767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221310987 and 102221311005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221311043) 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 23 ways as a sum of consecutive naturals, for example, 1144633 + ... + 1230701.

It is an arithmetic number, because the mean of its divisors is an integer number (6626185020).

Almost surely, 2102221311023 is an apocalyptic number.

102221311023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102221311023 is a deficient number, since it is larger than the sum of its proper divisors (56807129457).

102221311023 is a wasteful number, since it uses less digits than its factorization.

102221311023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96239 (or 96236 counting only the distinct ones).

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

Adding to 102221311023 its reverse (320113122201), we get a palindrome (422334433224).

The spelling of 102221311023 in words is "one hundred two billion, two hundred twenty-one million, three hundred eleven thousand, twenty-three".

Divisors: 1 3 9 13 39 117 10151 30453 86069 91359 131963 258207 395889 774621 1118897 1187667 3356691 10070073 873686419 2621059257 7863177771 11357923447 34073770341 102221311023