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13141250212200 = 233521127118114057
BaseRepresentation
bin1011111100111010111110…
…0011010000000101101000
31201112021212022200202202020
42333032233203100011220
53210301240023242300
643541001302504440
72524265300526255
oct277165743200550
951467768622666
1013141250212200
11420719a175860
121582a42135120
137442a3572736
1433607b6d442c
1517bc7a0118a0
hexbf3af8d0168

13141250212200 has 384 divisors, whose sum is σ = 44640939939840. Its totient is φ = 3171467520000.

The previous prime is 13141250212117. The next prime is 13141250212243. The reversal of 13141250212200 is 221205214131.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3239152572 + ... + 3239156628.

It is an arithmetic number, because the mean of its divisors is an integer number (116252447760).

Almost surely, 213141250212200 is an apocalyptic number.

13141250212200 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 13141250212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320469969920).

13141250212200 is an abundant number, since it is smaller than the sum of its proper divisors (31499689727640).

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

13141250212200 is a wasteful number, since it uses less digits than its factorization.

13141250212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13141250212200 its reverse (221205214131), we get a palindrome (13362455426331).

The spelling of 13141250212200 in words is "thirteen trillion, one hundred forty-one billion, two hundred fifty million, two hundred twelve thousand, two hundred".