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130012733711141 = 7757103131625201
BaseRepresentation
bin11101100011111011110010…
…110011110010001100100101
3122001100002120221201211120222
4131203323302303302030211
5114020112034312224031
61140303005245334125
736246052512362651
oct3543736263621445
9561302527654528
10130012733711141
11384760aa833946
12126b9409567345
1357711c07302c8
14241691540ba61
151006de2449e7b
hex763ef2cf2325

130012733711141 has 8 divisors (see below), whose sum is σ = 130042182734424. Its totient is φ = 129983287974400.

The previous prime is 130012733711131. The next prime is 130012733711143. The reversal of 130012733711141 is 141117337210031.

It can be written as a sum of positive squares in 4 ways, for example, as 59048789231041 + 70963944480100 = 7684321^2 + 8424010^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130012733711141 is a prime.

It is a super-3 number, since 3×1300127337111413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012733711143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79185341 + ... + 80810541.

It is an arithmetic number, because the mean of its divisors is an integer number (16255272841803).

Almost surely, 2130012733711141 is an apocalyptic number.

It is an amenable number.

130012733711141 is a deficient number, since it is larger than the sum of its proper divisors (29449023283).

130012733711141 is a wasteful number, since it uses less digits than its factorization.

130012733711141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643271.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 130012733711141 in words is "one hundred thirty trillion, twelve billion, seven hundred thirty-three million, seven hundred eleven thousand, one hundred forty-one".

Divisors: 1 7757 10313 1625201 79997941 12606684157 16760697913 130012733711141