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102201301131 = 31719547192817
BaseRepresentation
bin101111100101110101…
…1000001100010001011
3100202210120210000201020
41133023223001202023
53133302013114011
6114541200323523
710245433504026
oct1371353014213
9322716700636
10102201301131
113a385a74236
12179830135a3
1398398a83a7
144d3755a1bd
1529d2612006
hex17cbac188b

102201301131 has 32 divisors (see below), whose sum is σ = 152156540160. Its totient is φ = 60639860736.

The previous prime is 102201301121. The next prime is 102201301133. The reversal of 102201301131 is 131103102201.

It is a happy number.

It is not a de Polignac number, because 102201301131 - 213 = 102201292939 is a prime.

It is a super-2 number, since 2×1022013011312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102201301131.

It is not an unprimeable number, because it can be changed into a prime (102201301133) 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 31 ways as a sum of consecutive naturals, for example, 433635 + ... + 626451.

It is an arithmetic number, because the mean of its divisors is an integer number (4754891880).

Almost surely, 2102201301131 is an apocalyptic number.

102201301131 is a deficient number, since it is larger than the sum of its proper divisors (49955239029).

102201301131 is a wasteful number, since it uses less digits than its factorization.

102201301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193403.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102201301131 its reverse (131103102201), we get a palindrome (233304403332).

The spelling of 102201301131 in words is "one hundred two billion, two hundred one million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 17 19 51 57 323 547 969 1641 9299 10393 27897 31179 176681 192817 530043 578451 3277889 3663523 9833667 10990569 62279891 105470899 186839673 316412697 1793005283 2003947081 5379015849 6011841243 34067100377 102201301131