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101430575327 = 1719437302943
BaseRepresentation
bin101111001110110111…
…0111100000011011111
3100200210212112002200002
41132131232330003133
53130212211402302
6114332505124515
710220354444024
oct1363556740337
9320725462602
10101430575327
113a01aa08564
12177a8a8973b
139746005013
144ca305154b
152989b1dc02
hex179dbbc0df

101430575327 has 16 divisors (see below), whose sum is σ = 115678632960. Its totient is φ = 88336386432.

The previous prime is 101430575321. The next prime is 101430575347. The reversal of 101430575327 is 723575034101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101430575327 - 210 = 101430574303 is a prime.

It is a super-2 number, since 2×1014305753272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101430575321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3637583 + ... + 3665360.

It is an arithmetic number, because the mean of its divisors is an integer number (7229914560).

Almost surely, 2101430575327 is an apocalyptic number.

101430575327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

101430575327 is a deficient number, since it is larger than the sum of its proper divisors (14248057633).

101430575327 is a wasteful number, since it uses less digits than its factorization.

101430575327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303022.

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 101430575327 in words is "one hundred one billion, four hundred thirty million, five hundred seventy-five thousand, three hundred twenty-seven".

Divisors: 1 17 19 43 323 731 817 13889 7302943 124150031 138755917 314026549 2358850589 5338451333 5966504431 101430575327