Search a number
-
+
13103431120224 = 253315166008241
BaseRepresentation
bin1011111010101110000101…
…0110110111010101100000
31201101200020122101211122000
42332223201112313111200
53204141311331321344
643511344432244000
72521456144540014
oct276534126672540
951350218354560
1013103431120224
1141a2152297245
1215776486a0600
137408572987c3
143342d0a34544
1517acb4c24a69
hexbeae15b7560

13103431120224 has 48 divisors (see below), whose sum is σ = 38218340769840. Its totient is φ = 4367810373120.

The previous prime is 13103431120183. The next prime is 13103431120243. The reversal of 13103431120224 is 42202113430131.

13103431120224 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 431 + 1 + 2 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7583003257 + ... + 7583004984.

It is an arithmetic number, because the mean of its divisors is an integer number (796215432705).

Almost surely, 213103431120224 is an apocalyptic number.

It is an amenable number.

13103431120224 is an abundant number, since it is smaller than the sum of its proper divisors (25114909649616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103431120224 is a wasteful number, since it uses less digits than its factorization.

13103431120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166008260 (or 15166008246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13103431120224 its reverse (42202113430131), we get a palindrome (55305544550355).

The spelling of 13103431120224 in words is "thirteen trillion, one hundred three billion, four hundred thirty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15166008241 30332016482 45498024723 60664032964 90996049446 121328065928 136494074169 181992098892 242656131856 272988148338 363984197784 409482222507 485312263712 545976296676 727968395568 818964445014 1091952593352 1455936791136 1637928890028 2183905186704 3275857780056 4367810373408 6551715560112 13103431120224