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1035132240000 = 2735421120441
BaseRepresentation
bin11110001000000101011…
…00001000000010000000
310122221212010221010121010
433010002230020002000
5113424422323140000
62111311100200520
7134533353602505
oct17040254100200
93587763833533
101035132240000
11369aa7188891
12148747839140
13767c6a10731
143815a3374ac
151bdd5c18d50
hexf102b08080

1035132240000 has 320 divisors, whose sum is σ = 3452315280480. Its totient is φ = 274713600000.

The previous prime is 1035132239989. The next prime is 1035132240001. The reversal of 1035132240000 is 422315301.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1035132240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50629780 + ... + 50650220.

Almost surely, 21035132240000 is an apocalyptic number.

1035132240000 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 1035132240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726157640240).

1035132240000 is an abundant number, since it is smaller than the sum of its proper divisors (2417183040480).

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

1035132240000 is an equidigital number, since it uses as much as digits as its factorization.

1035132240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689 (or 20662 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1035132240000 its reverse (422315301), we get a palindrome (1035554555301).

The spelling of 1035132240000 in words is "one trillion, thirty-five billion, one hundred thirty-two million, two hundred forty thousand".