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1312004004142 = 2131723241136859
BaseRepresentation
bin10011000101111001100…
…010000101100100101110
311122102111211000001020011
4103011321202011210232
5132443441011113032
62442420515043434
7163534453013116
oct23057142054456
94572454001204
101312004004142
11466466069177
121923375a057a
139694c031680
144770392a046
15241dcbd7247
hex1317988592e

1312004004142 has 96 divisors (see below), whose sum is σ = 2403105032160. Its totient is φ = 531841136640.

The previous prime is 1312004004139. The next prime is 1312004004151. The reversal of 1312004004142 is 2414004002131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9518109 + ... + 9654967.

It is an arithmetic number, because the mean of its divisors is an integer number (25032344085).

Almost surely, 21312004004142 is an apocalyptic number.

1312004004142 is a deficient number, since it is larger than the sum of its proper divisors (1091101028018).

1312004004142 is a wasteful number, since it uses less digits than its factorization.

1312004004142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136978 (or 136955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1312004004142 its reverse (2414004002131), we get a palindrome (3726008006273).

The spelling of 1312004004142 in words is "one trillion, three hundred twelve billion, four million, four thousand, one hundred forty-two".

Divisors: 1 2 13 17 23 26 34 41 46 82 221 299 391 442 529 533 598 697 782 943 1058 1066 1394 1886 5083 6877 8993 9061 10166 12259 13754 16031 17986 18122 21689 24518 32062 43378 116909 136859 208403 233818 273718 281957 368713 416806 563914 737426 1779167 2326603 3147757 3558334 4653206 4793269 5611219 6295514 9586538 11222438 30245839 40920841 53511869 60491678 72398411 72945847 81841682 95390723 107023738 129058037 144796822 145891694 190781446 258116074 695654297 941179343 1230772987 1240079399 1391308594 1677754481 1882358686 2193986629 2461545974 2480158798 2968334851 3355508962 4387973258 5936669702 16000048831 28521826177 32000097662 38588353063 50461692467 57043652354 77176706126 100923384934 656002002071 1312004004142