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113112103320013 = 7241311887204101
BaseRepresentation
bin11001101101111111110110…
…101111001111100111001101
3112211111102002221222202120111
4121231333312233033213031
5104311212041422220023
61040322552150320021
732553036236336500
oct3155776657174715
9484442087882514
10113112103320013
113304a634552486
1210829a72659011
134b1656bcac2c5
141dd09254cd137
15d1248aa2000d
hex66dff6bcf9cd

113112103320013 has 48 divisors (see below), whose sum is σ = 135375154806528. Its totient is φ = 94177618080000.

The previous prime is 113112103319989. The next prime is 113112103320017. The reversal of 113112103320013 is 310023301211311.

It is not a de Polignac number, because 113112103320013 - 237 = 112974664366541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113112103320017) 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, 554094663 + ... + 554298763.

It is an arithmetic number, because the mean of its divisors is an integer number (2820315725136).

Almost surely, 2113112103320013 is an apocalyptic number.

It is an amenable number.

113112103320013 is a deficient number, since it is larger than the sum of its proper divisors (22263051486515).

113112103320013 is a wasteful number, since it uses less digits than its factorization.

113112103320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205354 (or 205347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 113112103320013 its reverse (310023301211311), we get a palindrome (423135404531324).

The spelling of 113112103320013 in words is "one hundred thirteen trillion, one hundred twelve billion, one hundred three million, three hundred twenty thousand, thirteen".

Divisors: 1 7 41 49 287 311 887 2009 2177 6209 12751 15239 36367 43463 89257 204101 254569 275857 624799 1428707 1781983 1930999 8368141 10000949 11310137 13516993 58576987 63475411 79170959 181037587 410038909 444327877 554196713 1267263109 2602491851 3110295139 7422541067 8870841763 18217442957 51957787469 56302689557 127522100699 363704512283 394118826899 2308410271837 2758831788293 16158871902859 113112103320013