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101054334341 = 1495209130201
BaseRepresentation
bin101111000011101001…
…1101100010110000101
3100122211122120002001202
41132013103230112011
53123424402144331
6114231305032245
710205135445362
oct1360723542605
9318748502052
10101054334341
11399475a00a4
1217702a85685
1396b6091b0c
144c690b3469
152966a9eecb
hex17874ec585

101054334341 has 8 divisors (see below), whose sum is σ = 101752863000. Its totient is φ = 100356076800.

The previous prime is 101054334289. The next prime is 101054334377. The reversal of 101054334341 is 143433450101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13988029441 + 87066304900 = 118271^2 + 295070^2 .

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 101054334341 - 226 = 100987225477 is a prime.

It is a super-2 number, since 2×1010543343412 (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 (101054334541) 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, 711041 + ... + 841241.

It is an arithmetic number, because the mean of its divisors is an integer number (12719107875).

Almost surely, 2101054334341 is an apocalyptic number.

It is an amenable number.

101054334341 is a deficient number, since it is larger than the sum of its proper divisors (698528659).

101054334341 is a wasteful number, since it uses less digits than its factorization.

101054334341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135559.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 101054334341 its reverse (143433450101), we get a palindrome (244487784442).

The spelling of 101054334341 in words is "one hundred one billion, fifty-four million, three hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 149 5209 130201 776141 19399949 678217009 101054334341