Search a number
-
+
1141316205001 = 72174615635279
BaseRepresentation
bin10000100110111011101…
…111110011100111001001
311001002221021210110001121
4100212323233303213021
5122144403422030001
62232151411115241
7145312610450500
oct20467357634711
94032837713047
101141316205001
11400036275365
121652405a2b21
138381974a75b
143d3507b3837
151ea4ccc96a1
hex109bbbf39c9

1141316205001 has 48 divisors (see below), whose sum is σ = 1411569815040. Its totient is φ = 916922872320.

The previous prime is 1141316204989. The next prime is 1141316205013. The reversal of 1141316205001 is 1005026131411.

It is an interprime number because it is at equal distance from previous prime (1141316204989) and next prime (1141316205013).

It is not a de Polignac number, because 1141316205001 - 29 = 1141316204489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1141316205041) 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, 216196680 + ... + 216201958.

It is an arithmetic number, because the mean of its divisors is an integer number (29407704480).

Almost surely, 21141316205001 is an apocalyptic number.

It is an amenable number.

1141316205001 is a deficient number, since it is larger than the sum of its proper divisors (270253610039).

1141316205001 is a wasteful number, since it uses less digits than its factorization.

1141316205001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 1141316205001 in words is "one trillion, one hundred forty-one billion, three hundred sixteen million, two hundred five thousand, one".

Divisors: 1 7 17 49 119 461 563 833 3227 3941 5279 7837 9571 22589 27587 36953 54859 66997 89743 258671 259543 384013 468979 628201 1816801 2433619 2972077 4397407 4412231 12717607 17035333 20804539 30885617 41371523 50525309 119247331 145631773 216199319 289600661 353677163 1370127497 2027204627 2475740141 9590892479 23292167449 67136247353 163045172143 1141316205001