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31043222234013 = 3112438323961479
BaseRepresentation
bin1110000111011110100000…
…01110111110001110011101
311001220200222112101011120010
413003233100032332032131
513032103004342442023
6150005020500113433
76352540662151263
oct703572016761635
9131820875334503
1031043222234013
1199893a1724100
123594474395879
131442495212092
147946ddcd6433
1538c78ad68093
hex1c3bd03be39d

31043222234013 has 48 divisors (see below), whose sum is σ = 47114787202560. Its totient is φ = 18155132651040.

The previous prime is 31043222233997. The next prime is 31043222234027.

It is a happy number.

31043222234013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31043222234013 - 24 = 31043222233997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31043222234093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10685193 + ... + 13276286.

It is an arithmetic number, because the mean of its divisors is an integer number (981558066720).

Almost surely, 231043222234013 is an apocalyptic number.

31043222234013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31043222234013 is a deficient number, since it is larger than the sum of its proper divisors (16071564968547).

31043222234013 is a wasteful number, since it uses less digits than its factorization.

31043222234013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23961630 (or 23961619 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3104322 and 2234013, that added together give a palindrome (5338335).

The spelling of 31043222234013 in words is "thirty-one trillion, forty-three billion, two hundred twenty-two million, two hundred thirty-four thousand, thirteen".

Divisors: 1 3 11 33 43 83 121 129 249 363 473 913 1419 2739 3569 5203 10043 10707 15609 30129 39259 117777 431849 1295547 23961479 71884437 263576269 790728807 1030343597 1988802757 2899338959 3091030791 5966408271 8698016877 11333779567 21876830327 34001338701 65630490981 85518518551 124671575237 240645133597 256555555653 374014725711 721935400791 940703704061 2822111112183 10347740744671 31043222234013