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10354314101 = 531117174901
BaseRepresentation
bin10011010010010101…
…00100101101110101
3222201121110122200212
421221022210231311
5132201201022401
64431240515205
7514406134445
oct115112445565
928647418625
1010354314101
11443381648a
12200b77bb05
13c902241a1
14703234125
15409049dbb
hex2692a4b75

10354314101 has 8 divisors (see below), whose sum is σ = 10559183544. Its totient is φ = 10149796800.

The previous prime is 10354314079. The next prime is 10354314161. The reversal of 10354314101 is 10141345301.

It is a happy number.

10354314101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 602751601 + 9751562500 = 24551^2 + 98750^2 .

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

It is not a de Polignac number, because 10354314101 - 214 = 10354297717 is a prime.

It is a super-3 number, since 3×103543141013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354314161) 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, 28250 + ... + 146651.

It is an arithmetic number, because the mean of its divisors is an integer number (1319897943).

Almost surely, 210354314101 is an apocalyptic number.

It is an amenable number.

10354314101 is a deficient number, since it is larger than the sum of its proper divisors (204869443).

10354314101 is a wasteful number, since it uses less digits than its factorization.

10354314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176071.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10354314101 its reverse (10141345301), we get a palindrome (20495659402).

The spelling of 10354314101 in words is "ten billion, three hundred fifty-four million, three hundred fourteen thousand, one hundred one".

Divisors: 1 53 1117 59201 174901 9269753 195364417 10354314101