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101411313 = 3535711117
BaseRepresentation
bin1100000101101…
…10100111110001
321001211020011120
412002312213301
5201430130223
614021332453
72340660543
oct602664761
9231736146
10101411313
1152275903
1229b67129
1318018cc3
14d67b693
158d82be3
hex60b69f1

101411313 has 16 divisors (see below), whose sum is σ = 138131136. Its totient is φ = 66156480.

The previous prime is 101411293. The next prime is 101411351. The reversal of 101411313 is 313114101.

It is not a de Polignac number, because 101411313 - 29 = 101410801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101411292 and 101411301.

It is not an unprimeable number, because it can be changed into a prime (101411363) 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, 90231 + ... + 91347.

It is an arithmetic number, because the mean of its divisors is an integer number (8633196).

Almost surely, 2101411313 is an apocalyptic number.

It is an amenable number.

101411313 is a deficient number, since it is larger than the sum of its proper divisors (36719823).

101411313 is a wasteful number, since it uses less digits than its factorization.

101411313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101411313 is about 10070.3184160184. The cubic root of 101411313 is about 466.3322689992.

Adding to 101411313 its reverse (313114101), we get a palindrome (414525414).

The spelling of 101411313 in words is "one hundred one million, four hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 53 159 571 1117 1713 3351 30263 59201 90789 177603 637807 1913421 33803771 101411313