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13123310424 = 2337211370213
BaseRepresentation
bin11000011100011010…
…11101001101011000
31020212120211020120020
430032031131031120
5203334031413144
610010114030440
7643131204150
oct141615351530
936776736506
1013123310424
1156248483a4
122662b78420
131311ab7653
148c6ca7760
1551c1ad419
hex30e35d358

13123310424 has 64 divisors (see below), whose sum is σ = 37672976640. Its totient is φ = 3731736960.

The previous prime is 13123310423. The next prime is 13123310597. The reversal of 13123310424 is 42401332131.

It is a happy number.

13123310424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13123310394 and 13123310403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123310423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149659 + ... + 220554.

It is an arithmetic number, because the mean of its divisors is an integer number (588640260).

Almost surely, 213123310424 is an apocalyptic number.

13123310424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13123310424 is an abundant number, since it is smaller than the sum of its proper divisors (24549666216).

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

13123310424 is a wasteful number, since it uses less digits than its factorization.

13123310424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370440 (or 370436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13123310424 its reverse (42401332131), we get a palindrome (55524642555).

The spelling of 13123310424 in words is "thirteen billion, one hundred twenty-three million, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 4431 5064 5908 8862 11816 17724 35448 370213 740426 1110639 1480852 2221278 2591491 2961704 4442556 5182982 7774473 8885112 10365964 15548946 20731928 31097892 62195784 78114943 156229886 234344829 312459772 468689658 546804601 624919544 937379316 1093609202 1640413803 1874758632 2187218404 3280827606 4374436808 6561655212 13123310424