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101113400425 = 5246154116217
BaseRepresentation
bin101111000101011010…
…1000000110001101001
3100122222202200221111111
41132022311000301221
53124040012303200
6114241215030321
710206453502612
oct1361265006151
9318882627444
10101113400425
1139977973344
121771a80b3a1
1396c53a296b
144c72c8ac09
15296bd6b0ba
hex178ad40c69

101113400425 has 24 divisors (see below), whose sum is σ = 125892614232. Its totient is φ = 80561088000.

The previous prime is 101113400407. The next prime is 101113400431. The reversal of 101113400425 is 524004311101.

It can be written as a sum of positive squares in 12 ways, for example, as 24541102336 + 76572298089 = 156656^2 + 276717^2 .

It is not a de Polignac number, because 101113400425 - 25 = 101113400393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113400396 and 101113400405.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6226917 + ... + 6243133.

It is an arithmetic number, because the mean of its divisors is an integer number (5245525593).

Almost surely, 2101113400425 is an apocalyptic number.

It is an amenable number.

101113400425 is a deficient number, since it is larger than the sum of its proper divisors (24779213807).

101113400425 is a wasteful number, since it uses less digits than its factorization.

101113400425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229 (or 17224 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 101113400425 its reverse (524004311101), we get a palindrome (625117711526).

The spelling of 101113400425 in words is "one hundred one billion, one hundred thirteen million, four hundred thousand, four hundred twenty-five".

Divisors: 1 5 25 461 541 2305 2705 11525 13525 16217 81085 249401 405425 1247005 6235025 7476037 8773397 37380185 43866985 186900925 219334925 4044536017 20222680085 101113400425