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1033113303131 = 71399491141109
BaseRepresentation
bin11110000100010100101…
…10011111100001011011
310122202122102221111212112
433002022112133201123
5113411304001200011
62110334455302535
7134432340120260
oct17021226374133
93582572844775
101033113303131
11369160587718
1214828367aa4b
1376564665b30
143800814d267
151bd1886558b
hexf08a59f85b

1033113303131 has 16 divisors (see below), whose sum is σ = 1271652984000. Its totient is φ = 817325451648.

The previous prime is 1033113303119. The next prime is 1033113303133. The reversal of 1033113303131 is 1313033113301.

It is a cyclic number.

It is not a de Polignac number, because 1033113303131 - 210 = 1033113302107 is a prime.

It is a super-2 number, since 2×10331133031312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033113303097 and 1033113303106.

It is not an unprimeable number, because it can be changed into a prime (1033113303133) 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, 334805 + ... + 1475913.

It is an arithmetic number, because the mean of its divisors is an integer number (79478311500).

Almost surely, 21033113303131 is an apocalyptic number.

1033113303131 is a deficient number, since it is larger than the sum of its proper divisors (238539680869).

1033113303131 is a wasteful number, since it uses less digits than its factorization.

1033113303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151078.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1033113303131 its reverse (1313033113301), we get a palindrome (2346146416432).

The spelling of 1033113303131 in words is "one trillion, thirty-three billion, one hundred thirteen million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 7 13 91 9949 69643 129337 905359 1141109 7987763 14834417 103840919 11352893441 79470254087 147587614733 1033113303131