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102201012002011 = 1323437949055923
BaseRepresentation
bin10111001111001110000111…
…000001000001110011011011
3111101212022200020201002112011
4113033032013001001303123
5101343430133033031021
61001210255144330351
730345531231363436
oct2717160701016333
9441768606632464
10102201012002011
112a62322999a25a
12b5672a81739b7
13450468b579530
141b347abd3681d
15bc37399c3de1
hex5cf387041cdb

102201012002011 has 16 divisors (see below), whose sum is σ = 117518842780416. Its totient is φ = 88139132063136.

The previous prime is 102201012001999. The next prime is 102201012002077. The reversal of 102201012002011 is 110200210102201.

It is a cyclic number.

It is not a de Polignac number, because 102201012002011 - 227 = 102200877784283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201012001982 and 102201012002000.

It is not an unprimeable number, because it can be changed into a prime (102201012002081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3974515105 + ... + 3974540818.

It is an arithmetic number, because the mean of its divisors is an integer number (7344927673776).

Almost surely, 2102201012002011 is an apocalyptic number.

102201012002011 is a deficient number, since it is larger than the sum of its proper divisors (15317830778405).

102201012002011 is a wasteful number, since it uses less digits than its factorization.

102201012002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949056002.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201012002011 its reverse (110200210102201), we get a palindrome (212401222104212).

The spelling of 102201012002011 in words is "one hundred two trillion, two hundred one billion, twelve million, two thousand, eleven".

Divisors: 1 13 23 43 299 559 989 12857 7949055923 103337726999 182828286229 341809404689 2376767720977 4443522260957 7861616307847 102201012002011