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1121130803520 = 2632572132291621
BaseRepresentation
bin10000010100001000100…
…110100111000101000000
310222011211112101210210100
4100110020212213011000
5121332033441203040
62215012420002400
7143666444410500
oct20241046470500
93864745353710
101121130803520
113a2518124482
12161348530400
138195082a500
143c397a29a00
151e26ab39b30
hex105089a7140

1121130803520 has 1512 divisors, whose sum is σ = 5028012788760. Its totient is φ = 228248616960.

The previous prime is 1121130803519. The next prime is 1121130803563. The reversal of 1121130803520 is 253080311211.

1121130803520 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 308 + 0 + 352 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 465691597056 + 655439206464 = 682416^2 + 809592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 691628310 + ... + 691629930.

Almost surely, 21121130803520 is an apocalyptic number.

1121130803520 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 1121130803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514006394380).

1121130803520 is an abundant number, since it is smaller than the sum of its proper divisors (3906881985240).

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

1121130803520 is a wasteful number, since it uses less digits than its factorization.

1121130803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1121130803520 in words is "one trillion, one hundred twenty-one billion, one hundred thirty million, eight hundred three thousand, five hundred twenty".