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113305255301 = 7229145354877
BaseRepresentation
bin110100110000110000…
…1001111110110000101
3101211110102211100021002
41221201201033312011
53324022121132201
6124015100503045
711120544531200
oct1514141176605
9354412740232
10113305255301
1144063954367
1219b6184aa85
13a8b91cc284
1456ac16a937
152e3238776b
hex1a6184fd85

113305255301 has 24 divisors (see below), whose sum is σ = 136445366520. Its totient is φ = 93703623552.

The previous prime is 113305255249. The next prime is 113305255313. The reversal of 113305255301 is 103552503311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86662528225 + 26642727076 = 294385^2 + 163226^2 .

It is not a de Polignac number, because 113305255301 - 222 = 113301060997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113305255321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037275 + ... + 2092151.

It is an arithmetic number, because the mean of its divisors is an integer number (5685223605).

Almost surely, 2113305255301 is an apocalyptic number.

It is an amenable number.

113305255301 is a deficient number, since it is larger than the sum of its proper divisors (23140111219).

113305255301 is a wasteful number, since it uses less digits than its factorization.

113305255301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56373 (or 56366 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

Adding to 113305255301 its reverse (103552503311), we get a palindrome (216857758612).

The spelling of 113305255301 in words is "one hundred thirteen billion, three hundred five million, two hundred fifty-five thousand, three hundred one".

Divisors: 1 7 29 49 203 1421 1453 10171 42137 54877 71197 294959 384139 1591433 2064713 2688973 11140031 77980217 79736281 558153967 2312352149 3907077769 16186465043 113305255301