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1131010320000 = 27354111912243
BaseRepresentation
bin10000011101010101011…
…101111110011010000000
311000010100001110020121010
4100131111131332122000
5122012302120220000
62223325020200520
7144466330045521
oct20352535763200
94003301406533
101131010320000
113a6727927430
12163245099140
1382866581952
143ca53b88848
151e648148d50
hex1075577e680

1131010320000 has 640 divisors, whose sum is σ = 4118665605120. Its totient is φ = 272627200000.

The previous prime is 1131010319953. The next prime is 1131010320053. The reversal of 1131010320000 is 230101311.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 504238879 + ... + 504241121.

It is an arithmetic number, because the mean of its divisors is an integer number (6435415008).

Almost surely, 21131010320000 is an apocalyptic number.

1131010320000 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 1131010320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059332802560).

1131010320000 is an abundant number, since it is smaller than the sum of its proper divisors (2987655285120).

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

1131010320000 is a wasteful number, since it uses less digits than its factorization.

1131010320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1131010320000 its reverse (230101311), we get a palindrome (1131240421311).

The spelling of 1131010320000 in words is "one trillion, one hundred thirty-one billion, ten million, three hundred twenty thousand".