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102146003357 = 9710141103841
BaseRepresentation
bin101111100100001100…
…0000101000110011101
3100202122201201121102112
41133020120011012131
53133143334101412
6114531503203405
710244162463026
oct1371030050635
9322581647375
10102146003357
113a3578351a2
12179685a6565
13982b2b6808
144d30083c4d
1529cc83c722
hex17c860519d

102146003357 has 8 divisors (see below), whose sum is σ = 103210225272. Its totient is φ = 101082009600.

The previous prime is 102146003347. The next prime is 102146003371. The reversal of 102146003357 is 753300641201.

It can be written as a sum of positive squares in 4 ways, for example, as 6648934681 + 95497068676 = 81541^2 + 309026^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102146003357 - 218 = 102145741213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102146003347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 931757 + ... + 1035597.

It is an arithmetic number, because the mean of its divisors is an integer number (12901278159).

Almost surely, 2102146003357 is an apocalyptic number.

It is an amenable number.

102146003357 is a deficient number, since it is larger than the sum of its proper divisors (1064221915).

102146003357 is a wasteful number, since it uses less digits than its factorization.

102146003357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114079.

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 102146003357 its reverse (753300641201), we get a palindrome (855446644558).

The spelling of 102146003357 in words is "one hundred two billion, one hundred forty-six million, three thousand, three hundred fifty-seven".

Divisors: 1 97 10141 103841 983677 10072577 1053051581 102146003357