Search a number
-
+
13100243200000 = 2115511533511
BaseRepresentation
bin1011111010100010001101…
…0101111010100000000000
31201101101000110202201012121
42332220203111322200000
53204113244224400000
643510100232134024
72521314144630655
oct276504325724000
951341013681177
1013100243200000
1141a0866844630
121576ab8b37314
13740469999388
143340ab4b1c2c
1517ab79e10b1a
hexbea2357a800

13100243200000 has 576 divisors, whose sum is σ = 36401196424320. Its totient is φ = 4672512000000.

The previous prime is 13100243199931. The next prime is 13100243200019. The reversal of 13100243200000 is 234200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731198245 + ... + 3731201755.

It is an arithmetic number, because the mean of its divisors is an integer number (63196521570).

Almost surely, 213100243200000 is an apocalyptic number.

13100243200000 is a gapful number since it is divisible by the number (10) 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 13100243200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200598212160).

13100243200000 is an abundant number, since it is smaller than the sum of its proper divisors (23300953224320).

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

13100243200000 is an frugal number, since it uses more digits than its factorization.

13100243200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13100243200000 its reverse (234200131), we get a palindrome (13100477400131).

The spelling of 13100243200000 in words is "thirteen trillion, one hundred billion, two hundred forty-three million, two hundred thousand".