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13247023104 = 211327831237
BaseRepresentation
bin11000101011001010…
…11000100000000000
31021012012121111110100
430111211120200000
5204112214214404
610030253402400
7646162560420
oct142545304000
937165544410
1013247023104
115688665587
122698499400
131331611413
148d94ac480
15527e98d39
hex315958800

13247023104 has 288 divisors, whose sum is σ = 44288112960. Its totient is φ = 3736240128.

The previous prime is 13247023099. The next prime is 13247023157. The reversal of 13247023104 is 40132074231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×132470231042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10708374 + ... + 10709610.

It is an arithmetic number, because the mean of its divisors is an integer number (153778170).

Almost surely, 213247023104 is an apocalyptic number.

13247023104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13247023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22144056480).

13247023104 is an abundant number, since it is smaller than the sum of its proper divisors (31041089856).

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

13247023104 is a wasteful number, since it uses less digits than its factorization.

13247023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 13247023104 its reverse (40132074231), we get a palindrome (53379097335).

The spelling of 13247023104 in words is "thirteen billion, two hundred forty-seven million, twenty-three thousand, one hundred four".