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102002022011111 = 191011117140933773
BaseRepresentation
bin10111001100010100110010…
…010010011101000011100111
3111101011022001021221012001012
4113030110302102131003213
5101332200120113323421
61000535025414252435
730325255123355405
oct2714246222350347
9441138037835035
10102002022011111
112a5568a6268922
12b53481295711b
1344bb9985902a1
141b28cd204a475
15bbd49005b95b
hex5cc53249d0e7

102002022011111 has 32 divisors (see below), whose sum is σ = 108610942564800. Its totient is φ = 95520400588800.

The previous prime is 102002022011101. The next prime is 102002022011117. The reversal of 102002022011111 is 111110220200201.

It is a cyclic number.

It is not a de Polignac number, because 102002022011111 - 26 = 102002022011047 is a prime.

It is a super-3 number, since 3×1020020220111113 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002022011117) 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 31 ways as a sum of consecutive naturals, for example, 3020207021 + ... + 3020240793.

It is an arithmetic number, because the mean of its divisors is an integer number (3394091955150).

Almost surely, 2102002022011111 is an apocalyptic number.

102002022011111 is a deficient number, since it is larger than the sum of its proper divisors (6608920553689).

102002022011111 is a wasteful number, since it uses less digits than its factorization.

102002022011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36419.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102002022011111 its reverse (111110220200201), we get a palindrome (213112242211312).

The spelling of 102002022011111 in words is "one hundred two trillion, two billion, twenty-two million, eleven thousand, one hundred eleven".

Divisors: 1 19 101 1117 1409 1919 21223 26771 33773 112817 142309 641687 1573853 2143523 2703871 3411073 29903207 37724441 47586157 64810387 158959153 716764379 904136983 3020223907 3810168541 4806201857 53153737369 72393202279 91317835283 1009921010011 5368527474269 102002022011111