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102207702201 = 3114372027979
BaseRepresentation
bin101111100110000001…
…1011100010010111001
3100202211000211020022220
41133030003130102321
53133310132432301
6114541545434253
710245542064033
oct1371403342271
9322730736286
10102207702201
113a389646480
121798519b989
13983b009ac7
144d38344c53
1529d2e78936
hex17cc0dc4b9

102207702201 has 16 divisors (see below), whose sum is σ = 152123093760. Its totient is φ = 60503501520.

The previous prime is 102207702187. The next prime is 102207702211.

102207702201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102207702201 - 214 = 102207685817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102207702211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36012571 + ... + 36015408.

It is an arithmetic number, because the mean of its divisors is an integer number (9507693360).

Almost surely, 2102207702201 is an apocalyptic number.

102207702201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102207702201 is a deficient number, since it is larger than the sum of its proper divisors (49915391559).

102207702201 is a wasteful number, since it uses less digits than its factorization.

102207702201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72028036.

The product of its (nonzero) digits is 784, while the sum is 24.

It can be divided in two parts, 102207 and 702201, that added together give a palindrome (804408).

The spelling of 102207702201 in words is "one hundred two billion, two hundred seven million, seven hundred two thousand, two hundred one".

Divisors: 1 3 11 33 43 129 473 1419 72027979 216083937 792307769 2376923307 3097203097 9291609291 34069234067 102207702201