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105115664231 = 899711216349
BaseRepresentation
bin110000111100101100…
…0011011111101100111
3101001022200200000022022
41201321120123331213
53210234102223411
6120142305253355
710410602255324
oct1417130337547
9331280600268
10105115664231
1140641063386
121845703425b
139bb26078b6
14513262db4b
152b033dbedb
hex187961bf67

105115664231 has 8 divisors (see below), whose sum is σ = 106406298000. Its totient is φ = 103827465280.

The previous prime is 105115664191. The next prime is 105115664267. The reversal of 105115664231 is 132466511501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105115664231 is a prime.

It is a super-2 number, since 2×1051156642312 (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 = 105115664191 and 105115664200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115664131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521756 + ... + 694593.

It is an arithmetic number, because the mean of its divisors is an integer number (13300787250).

Almost surely, 2105115664231 is an apocalyptic number.

105115664231 is a deficient number, since it is larger than the sum of its proper divisors (1290633769).

105115664231 is an equidigital number, since it uses as much as digits as its factorization.

105115664231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217409.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 105115664231 in words is "one hundred five billion, one hundred fifteen million, six hundred sixty-four thousand, two hundred thirty-one".

Divisors: 1 89 971 86419 1216349 108255061 1181074879 105115664231