Search a number
-
+
1031812214400 = 27355211711699
BaseRepresentation
bin11110000001111001100…
…11001110111010000000
310122122021202201100200000
433000330303032322000
5113401122411330100
62110001420400000
7134355161053542
oct17007463167200
93578252640600
101031812214400
11368653106480
12147b7b9a6000
13763b7c39446
1437d23427692
151bc8e50c900
hexf03cccee80

1031812214400 has 1152 divisors, whose sum is σ = 4226354496000. Its totient is φ = 246468096000.

The previous prime is 1031812214393. The next prime is 1031812214401. The reversal of 1031812214400 is 44122181301.

1031812214400 is a `hidden beast` number, since 1 + 0 + 31 + 8 + 1 + 221 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1031812214401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 607304751 + ... + 607306449.

It is an arithmetic number, because the mean of its divisors is an integer number (3668710500).

Almost surely, 21031812214400 is an apocalyptic number.

1031812214400 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 1031812214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113177248000).

1031812214400 is an abundant number, since it is smaller than the sum of its proper divisors (3194542281600).

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

1031812214400 is a wasteful number, since it uses less digits than its factorization.

1031812214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1031812214400 its reverse (44122181301), we get a palindrome (1075934395701).

The spelling of 1031812214400 in words is "one trillion, thirty-one billion, eight hundred twelve million, two hundred fourteen thousand, four hundred".