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1042106300872 = 237213204494957
BaseRepresentation
bin11110010101000100110…
…00000011100111001000
310200121212011212010120221
433022202120003213020
5114033213203111442
62114423110355424
7135201236255500
oct17124230034710
93617764763527
101042106300872
11371a55925a5a
12149b7335bb74
1377368833b80
143861c660a00
151c19310c467
hexf2a26039c8

1042106300872 has 48 divisors (see below), whose sum is σ = 2447804647260. Its totient is φ = 412261831296.

The previous prime is 1042106300857. The next prime is 1042106300933. The reversal of 1042106300872 is 2780036012401.

It can be written as a sum of positive squares in 2 ways, for example, as 890618763076 + 151487537796 = 943726^2 + 389214^2 .

It is a super-3 number, since 3×10421063008723 (a number of 37 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 102242383 + ... + 102252574.

Almost surely, 21042106300872 is an apocalyptic number.

It is an amenable number.

1042106300872 is an abundant number, since it is smaller than the sum of its proper divisors (1405698346388).

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

1042106300872 is a wasteful number, since it uses less digits than its factorization.

1042106300872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204494990 (or 204494979 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 1042106300872 in words is "one trillion, forty-two billion, one hundred six million, three hundred thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 204494957 408989914 817979828 1431464699 1635959656 2658434441 2862929398 5316868882 5725858796 10020252893 10633737764 11451717592 18609041087 20040505786 21267475528 37218082174 40081011572 74436164348 80162023144 130263287609 148872328696 260526575218 521053150436 1042106300872