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1044300131010 = 2345191632831471
BaseRepresentation
bin11110011001001010010…
…00110110101011000010
310200211112001221020210000
433030211020312223002
5114102211313143020
62115424520020430
7135306505436643
oct17144510665302
93624461836700
101044300131010
11372981221014
1214a486001716
13776281b5106
1438789b736ca
151c270a0b090
hexf325236ac2

1044300131010 has 320 divisors, whose sum is σ = 2986468024320. Its totient is φ = 261100506240.

The previous prime is 1044300131003. The next prime is 1044300131033. The reversal of 1044300131010 is 101310034401.

1044300131010 is a `hidden beast` number, since 1 + 0 + 44 + 300 + 1 + 310 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 159 ways as a sum of consecutive naturals, for example, 709924575 + ... + 709926045.

It is an arithmetic number, because the mean of its divisors is an integer number (9332712576).

Almost surely, 21044300131010 is an apocalyptic number.

1044300131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044300131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493234012160).

1044300131010 is an abundant number, since it is smaller than the sum of its proper divisors (1942167893310).

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

1044300131010 is a wasteful number, since it uses less digits than its factorization.

1044300131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1044300131010 its reverse (101310034401), we get a palindrome (1145610165411).

The spelling of 1044300131010 in words is "one trillion, forty-four billion, three hundred million, one hundred thirty-one thousand, ten".