Search a number
-
+
2131052891709 = 372191723442831
BaseRepresentation
bin11111000000101100101…
…001101000111000111101
321112201121201222112111010
4133000230221220320331
5234403344020013314
64310554151145433
7306651322463400
oct37005451507075
97481551875433
102131052891709
1175185788a055
122a5019375279
13125c5a604741
1475201b13d37
153a6784be059
hex1f02ca68e3d

2131052891709 has 48 divisors (see below), whose sum is σ = 3481297198080. Its totient is φ = 1152980529120.

The previous prime is 2131052891687. The next prime is 2131052891711. The reversal of 2131052891709 is 9071982501312.

It is a happy number.

It is not a de Polignac number, because 2131052891709 - 213 = 2131052883517 is a prime.

It is a super-2 number, since 2×21310528917092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131052895709) 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, 4590924 + ... + 5033754.

It is an arithmetic number, because the mean of its divisors is an integer number (72527024960).

Almost surely, 22131052891709 is an apocalyptic number.

It is an amenable number.

2131052891709 is a deficient number, since it is larger than the sum of its proper divisors (1350244306371).

2131052891709 is a wasteful number, since it uses less digits than its factorization.

2131052891709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444590 (or 444583 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 2131052891709 in words is "two trillion, one hundred thirty-one billion, fifty-two million, eight hundred ninety-one thousand, seven hundred nine".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 1723 2793 5169 12061 32737 36183 84427 98211 229159 253281 442831 687477 1328493 1604113 3099817 4812339 8413789 9299451 21698719 25241367 58896523 65096157 176689569 412275661 762997813 1236826983 2288993439 5340984691 14496958447 16022954073 37386892837 43490875341 101478709129 112160678511 304436127387 710350963903 2131052891709