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1031113910031 = 38335753115823
BaseRepresentation
bin11110000000100110010…
…11011010011100001111
310122120111002201211011020
433000103023122130033
5113343210130110111
62105404233325223
7134331651424002
oct17002313323417
93576432654136
101031113910031
11368324a15027
12147a05b66813
1376306371aaa
1437c987b1539
151bc4d072906
hexf0132da70f

1031113910031 has 16 divisors (see below), whose sum is σ = 1391433555456. Its totient is φ = 679102375616.

The previous prime is 1031113910003. The next prime is 1031113910081. The reversal of 1031113910031 is 1300193111301.

1031113910031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1031113910031 - 214 = 1031113893647 is a prime.

It is a super-2 number, since 2×10311139100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031113909983 and 1031113910010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031113910081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8844586 + ... + 8960408.

It is an arithmetic number, because the mean of its divisors is an integer number (86964597216).

Almost surely, 21031113910031 is an apocalyptic number.

1031113910031 is a deficient number, since it is larger than the sum of its proper divisors (360319645425).

1031113910031 is a wasteful number, since it uses less digits than its factorization.

1031113910031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151662.

The product of its (nonzero) digits is 243, while the sum is 24.

The spelling of 1031113910031 in words is "one trillion, thirty-one billion, one hundred thirteen million, nine hundred ten thousand, thirty-one".

Divisors: 1 3 83 249 35753 107259 115823 347469 2967499 8902497 9613309 28839927 4141019719 12423059157 343704636677 1031113910031