Search a number
-
+
12431102200000 = 26551143331397
BaseRepresentation
bin1011010011100101011101…
…1011100100100011000000
31122000101211212220221022121
42310321113123210203000
53112132344130400000
642234434114214024
72422055205160321
oct264712733444300
948011755827277
1012431102200000
113a63001128420
121489292b84314
136c232b864163
1430d95073c448
151685650b0b1a
hexb4e576e48c0

12431102200000 has 672 divisors, whose sum is σ = 34609158372096. Its totient is φ = 4390848000000.

The previous prime is 12431102199917. The next prime is 12431102200001. The reversal of 12431102200000 is 220113421.

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

It is not an unprimeable number, because it can be changed into a prime (12431102200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31312599802 + ... + 31312600198.

It is an arithmetic number, because the mean of its divisors is an integer number (51501723768).

Almost surely, 212431102200000 is an apocalyptic number.

12431102200000 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 12431102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304579186048).

12431102200000 is an abundant number, since it is smaller than the sum of its proper divisors (22178056172096).

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

12431102200000 is an equidigital number, since it uses as much as digits as its factorization.

12431102200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12431102200000 its reverse (220113421), we get a palindrome (12431322313421).

The spelling of 12431102200000 in words is "twelve trillion, four hundred thirty-one billion, one hundred two million, two hundred thousand".