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1120117422736 = 24132203532
BaseRepresentation
bin10000010011001100001…
…100110111101010010000
310222002012220112201200201
4100103030030313222100
5121323000030011421
62214324055424544
7143632360666534
oct20231414675220
93862186481621
101120117422736
113a20480a14a4
12161105085154
138181b8b6a00
143c2dd1d7bc4
151e20bbb3b91
hex104cc337a90

1120117422736 has 45 divisors (see below), whose sum is σ = 2350125135099. Its totient is φ = 516951871488.

The previous prime is 1120117422701. The next prime is 1120117422847. The reversal of 1120117422736 is 6372247110211.

The square root of 1120117422736 is 1058356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 276511912336 + 843605510400 = 525844^2 + 918480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120117422695 and 1120117422704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55024336 + ... + 55044688.

Almost surely, 21120117422736 is an apocalyptic number.

1120117422736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1120117422736 is the 1058356-th square number.

It is an amenable number.

1120117422736 is an abundant number, since it is smaller than the sum of its proper divisors (1230007712363).

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

1120117422736 is an frugal number, since it uses more digits than its factorization.

1120117422736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40740 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 1120117422736 in words is "one trillion, one hundred twenty billion, one hundred seventeen million, four hundred twenty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 20353 40706 81412 162824 264589 325648 529178 1058356 2116712 3439657 4233424 6879314 13758628 27517256 55034512 414244609 828489218 1656978436 3313956872 5385179917 6627913744 10770359834 21540719668 43081439336 70007338921 86162878672 140014677842 280029355684 560058711368 1120117422736