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107213302675081 = 612381417380481
BaseRepresentation
bin11000011000001010001010…
…110100100011011010001001
3112001121111021101220002210001
4120120022022310203122021
5103023040320441100311
61020005040012523001
731403622405214651
oct3030121264433211
9461544241802701
10107213302675081
11311859a7351369
12100367a6180461
1347a922ba889c5
141c69219b63361
15c5dce62314c1
hex61828ad23689

107213302675081 has 8 divisors (see below), whose sum is σ = 108971370155528. Its totient is φ = 105455250432000.

The previous prime is 107213302675057. The next prime is 107213302675133. The reversal of 107213302675081 is 180576203312701.

107213302675081 = T8454319 + T8454320 + T8454321.

It can be written as a sum of positive squares in 4 ways, for example, as 27117962515081 + 80095340160000 = 5207491^2 + 8949600^2 .

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

It is a 5-Lehmer number, since φ(107213302675081) divides (107213302675081-1)5.

It is a cyclic number.

It is not a de Polignac number, because 107213302675081 - 211 = 107213302673033 is a prime.

It is a super-2 number, since 2×1072133026750812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107213302675681) 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, 10836361 + ... + 18216841.

It is an arithmetic number, because the mean of its divisors is an integer number (13621421269441).

Almost surely, 2107213302675081 is an apocalyptic number.

107213302675081 is the 8454321-st centered triangular number and also the 6548689-th centered pentagonal number.

It is an amenable number.

107213302675081 is a deficient number, since it is larger than the sum of its proper divisors (1758067480447).

107213302675081 is an equidigital number, since it uses as much as digits as its factorization.

107213302675081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618683.

The product of its (nonzero) digits is 423360, while the sum is 46.

Adding to 107213302675081 its reverse (180576203312701), we get a palindrome (287789505987782).

The spelling of 107213302675081 in words is "one hundred seven trillion, two hundred thirteen billion, three hundred two million, six hundred seventy-five thousand, eighty-one".

Divisors: 1 61 238141 7380481 14526601 450209341 1757595125821 107213302675081