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101057143331 = 1719730175319
BaseRepresentation
bin101111000011101111…
…0011010001000100011
3100122211211211210021102
41132013132122020203
53123431112041311
6114231445145015
710205201355014
oct1360736321043
9318754753242
10101057143331
1139949139581
12177039bb16b
1396b6836541
144c6960500b
152966e5743b
hex178779a223

101057143331 has 8 divisors (see below), whose sum is σ = 107544840480. Its totient is φ = 94629797248.

The previous prime is 101057143303. The next prime is 101057143333. The reversal of 101057143331 is 133341750101.

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 101057143331 - 222 = 101052949027 is a prime.

It is a super-2 number, since 2×1010571433312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101057143294 and 101057143303.

It is not an unprimeable number, because it can be changed into a prime (101057143333) 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 7 ways as a sum of consecutive naturals, for example, 15084311 + ... + 15091008.

It is an arithmetic number, because the mean of its divisors is an integer number (13443105060).

Almost surely, 2101057143331 is an apocalyptic number.

101057143331 is a deficient number, since it is larger than the sum of its proper divisors (6487697149).

101057143331 is a wasteful number, since it uses less digits than its factorization.

101057143331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30175533.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 101057143331 its reverse (133341750101), we get a palindrome (234398893432).

The spelling of 101057143331 in words is "one hundred one billion, fifty-seven million, one hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 17 197 3349 30175319 512980423 5944537843 101057143331