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102201055616 = 271172585977
BaseRepresentation
bin101111100101110101…
…0000101100110000000
3100202210120022112221002
41133023222011212000
53133301432234431
6114541151151132
710245431432162
oct1371352054600
9322716275832
10102201055616
113a385916830
1217982b154a8
13983982070a
144d374d4932
1529d25b43cb
hex17cba85980

102201055616 has 32 divisors (see below), whose sum is σ = 222113092680. Its totient is φ = 46455024640.

The previous prime is 102201055603. The next prime is 102201055637. The reversal of 102201055616 is 616550102201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36291581 + ... + 36294396.

Almost surely, 2102201055616 is an apocalyptic number.

102201055616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102201055616 is an abundant number, since it is smaller than the sum of its proper divisors (119912037064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201055616 is an equidigital number, since it uses as much as digits as its factorization.

102201055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72586002 (or 72585990 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 102201055616 its reverse (616550102201), we get a palindrome (718751157817).

The spelling of 102201055616 in words is "one hundred two billion, two hundred one million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 72585977 145171954 290343908 580687816 798445747 1161375632 1596891494 2322751264 3193782988 4645502528 6387565976 9291005056 12775131952 25550263904 51100527808 102201055616