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1031101232031 = 321353166279831
BaseRepresentation
bin11110000000100100110…
…11000011001110011111
310122120110012212201012200
433000102123003032133
5113343143403411111
62105403101502543
7134331435601623
oct17002233031637
93576405781180
101031101232031
11368318845942
12147a01871a53
1376303853310
1437c96c31183
151bc4bdbb256
hexf0126c339f

1031101232031 has 24 divisors (see below), whose sum is σ = 1634198188896. Its totient is φ = 622551683520.

The previous prime is 1031101231997. The next prime is 1031101232093. The reversal of 1031101232031 is 1302321011301.

1031101232031 is a `hidden beast` number, since 1 + 0 + 311 + 0 + 1 + 2 + 320 + 31 = 666.

1031101232031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1031101232031 is a prime.

It is a super-2 number, since 2×10311012320312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031101231995 and 1031101232013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031101231031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83133715 + ... + 83146116.

It is an arithmetic number, because the mean of its divisors is an integer number (68091591204).

Almost surely, 21031101232031 is an apocalyptic number.

1031101232031 is a deficient number, since it is larger than the sum of its proper divisors (603096956865).

1031101232031 is a wasteful number, since it uses less digits than its factorization.

1031101232031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166279903 (or 166279900 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031101232031 its reverse (1302321011301), we get a palindrome (2333422243332).

The spelling of 1031101232031 in words is "one trillion, thirty-one billion, one hundred one million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 166279831 498839493 1496518479 2161637803 6484913409 8812831043 19454740227 26438493129 79315479387 114566803559 343700410677 1031101232031