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1101330312425 = 527217291823621
BaseRepresentation
bin10000000001101100011…
…001101110110011101001
310220021201121021122022022
4100001230121232303221
5121021011024444200
62201535534434225
7142365664124300
oct20015431566351
93807647248268
101101330312425
11395087282452
12159541362975
137cb165974a5
143b43a039437
151d9ac67c885
hex1006c66ece9

1101330312425 has 72 divisors (see below), whose sum is σ = 1740063639960. Its totient is φ = 686264678400.

The previous prime is 1101330312371. The next prime is 1101330312427. The reversal of 1101330312425 is 5242130331011.

It can be written as a sum of positive squares in 12 ways, for example, as 144055925209 + 957274387216 = 379547^2 + 978404^2 .

It is not a de Polignac number, because 1101330312425 - 220 = 1101329263849 is a prime.

It is a super-2 number, since 2×11013303124252 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1101330312394 and 1101330312403.

It is not an unprimeable number, because it can be changed into a prime (1101330312427) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 307886 + ... + 1515735.

It is an arithmetic number, because the mean of its divisors is an integer number (24167550555).

Almost surely, 21101330312425 is an apocalyptic number.

It is an amenable number.

1101330312425 is a deficient number, since it is larger than the sum of its proper divisors (638733327535).

1101330312425 is a wasteful number, since it uses less digits than its factorization.

1101330312425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823691 (or 1823679 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 1101330312425 its reverse (5242130331011), we get a palindrome (6343460643436).

The spelling of 1101330312425 in words is "one trillion, one hundred one billion, three hundred thirty million, three hundred twelve thousand, four hundred twenty-five".

Divisors: 1 5 7 17 25 29 35 49 85 119 145 175 203 245 425 493 595 725 833 1015 1225 1421 2465 2975 3451 4165 5075 7105 12325 17255 20825 24157 35525 86275 120785 603925 1823621 9118105 12765347 31001557 45590525 52885009 63826735 89357429 155007785 217010899 264425045 319133675 370195063 446787145 775038925 899045153 1085054495 1322125225 1519076293 1850975315 2233935725 2591365441 4495225765 5425272475 6293316071 7595381465 9254876575 12956827205 22476128825 31466580355 37976907325 44053212497 64784136025 157332901775 220266062485 1101330312425