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13044000031002 = 2326133735251577
BaseRepresentation
bin1011110111010000101011…
…1111010000000100011010
31201011222211210022200202100
42331310022333100010122
53202203103001443002
643424155245544230
72514253323605223
oct275641277200432
951158753280670
1013044000031002
114179a24a63286
121568021275076
13738075670515
1433149395424a
151794873ed11c
hexbdd0afd011a

13044000031002 has 48 divisors (see below), whose sum is σ = 28810550674152. Its totient is φ = 4264030632960.

The previous prime is 13044000031001. The next prime is 13044000031021. The reversal of 13044000031002 is 20013000044031.

13044000031002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9298114616961 + 3745885414041 = 3049281^2 + 1935429^2 .

It is a super-2 number, since 2×130440000310022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13044000031001) 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, 17255763 + ... + 17995814.

Almost surely, 213044000031002 is an apocalyptic number.

13044000031002 is an abundant number, since it is smaller than the sum of its proper divisors (15766550643150).

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

13044000031002 is a wasteful number, since it uses less digits than its factorization.

13044000031002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35251983 (or 35251980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13044000031002 its reverse (20013000044031), we get a palindrome (33057000075033).

The spelling of 13044000031002 in words is "thirteen trillion, forty-four billion, thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 61 122 183 337 366 549 674 1011 1098 2022 3033 6066 20557 41114 61671 123342 185013 370026 35251577 70503154 105754731 211509462 317264193 634528386 2150346197 4300692394 6451038591 11879781449 12902077182 19353115773 23759562898 35639344347 38706231546 71278688694 106918033041 213836066082 724666668389 1449333336778 2174000005167 4348000010334 6522000015501 13044000031002