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13022202031201 = 1153151147924097
BaseRepresentation
bin1011110101111111011110…
…1110011110110001100001
31201002220120122112120110101
42331133313232132301201
53201323432204444301
643410152251102401
72512552206634336
oct275376756366141
951086518476411
1013022202031201
114170759616410
121563959141a01
13735cb062609c
143303c695698d
15178b0d8c1701
hexbd7f7b9ec61

13022202031201 has 16 divisors (see below), whose sum is σ = 14569931956608. Its totient is φ = 11538079488000.

The previous prime is 13022202031199. The next prime is 13022202031211. The reversal of 13022202031201 is 10213020222031.

It is a cyclic number.

It is not a de Polignac number, because 13022202031201 - 21 = 13022202031199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13022202031211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73874016 + ... + 74050081.

It is an arithmetic number, because the mean of its divisors is an integer number (910620747288).

Almost surely, 213022202031201 is an apocalyptic number.

13022202031201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13022202031201 is a deficient number, since it is larger than the sum of its proper divisors (1547729925407).

13022202031201 is a wasteful number, since it uses less digits than its factorization.

13022202031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147924312.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13022202031201 its reverse (10213020222031), we get a palindrome (23235222253232).

The spelling of 13022202031201 in words is "thirteen trillion, twenty-two billion, two hundred two million, thirty-one thousand, two hundred one".

Divisors: 1 11 53 151 583 1661 8003 88033 147924097 1627165067 7839977141 22336538647 86239748551 245701925117 1183836548291 13022202031201