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113243401314113 = 7217374189615333
BaseRepresentation
bin11001101111111010001000…
…101101010101111101000001
3112211221222000100022221100212
4121233322020231111331001
5104320334441214022423
61040503144514123505
732565365024021300
oct3157721055257501
9484858010287325
10113243401314113
11330a0290879804
121084b3b5b80595
134b25a64a68a85
141dd701d116437
15d15ac27c9578
hex66fe88b55f41

113243401314113 has 48 divisors (see below), whose sum is σ = 146744750963664. Its totient is φ = 86718964469760.

The previous prime is 113243401314101. The next prime is 113243401314259. The reversal of 113243401314113 is 311413104342311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 746343943744 + 112497057370369 = 863912^2 + 10606463^2 .

It is not a de Polignac number, because 113243401314113 - 214 = 113243401297729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113243401314113.

It is not an unprimeable number, because it can be changed into a prime (113243401314413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43544006 + ... + 46071327.

It is an arithmetic number, because the mean of its divisors is an integer number (3057182311743).

Almost surely, 2113243401314113 is an apocalyptic number.

It is an amenable number.

113243401314113 is a deficient number, since it is larger than the sum of its proper divisors (33501349649551).

113243401314113 is a wasteful number, since it uses less digits than its factorization.

113243401314113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89615442 (or 89615435 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 113243401314113 its reverse (311413104342311), we get a palindrome (424656505656424).

The spelling of 113243401314113 in words is "one hundred thirteen trillion, two hundred forty-three billion, four hundred one million, three hundred fourteen thousand, one hundred thirteen".

Divisors: 1 7 17 37 41 49 119 259 287 629 697 833 1517 1813 2009 4403 4879 10619 25789 30821 34153 74333 180523 1263661 89615333 627307331 1523460661 3315767321 3674228653 4391151317 10664224627 23210371247 25719600571 56368044457 62461887101 74649572389 135946460161 162472598729 180037203997 394576311199 437233209707 951625221127 2311089822737 2762034178393 3060632467949 6661376547889 16177628759159 113243401314113