Search a number
-
+
3106086762141 = 32111916312298243
BaseRepresentation
bin101101001100110001001…
…100101011011010011101
3101222221100112020011122200
4231030301030223122131
5401342231202342031
610334525551002113
7440256503566566
oct55146114533235
911887315204580
103106086762141
11a98314002310
12421b92209339
13196b9739563c
14aa49a4ad16d
1555be30038e6
hex2d33132b69d

3106086762141 has 96 divisors (see below), whose sum is σ = 5188496601600. Its totient is φ = 1770800952960.

The previous prime is 3106086762133. The next prime is 3106086762169. The reversal of 3106086762141 is 1412676806013.

3106086762141 is a `hidden beast` number, since 3 + 10 + 6 + 0 + 8 + 6 + 7 + 621 + 4 + 1 = 666.

It is not a de Polignac number, because 3106086762141 - 23 = 3106086762133 is a prime.

It is a super-2 number, since 2×31060867621412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3106086762041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376810966 + ... + 376819208.

It is an arithmetic number, because the mean of its divisors is an integer number (54046839600).

Almost surely, 23106086762141 is an apocalyptic number.

It is an amenable number.

3106086762141 is a deficient number, since it is larger than the sum of its proper divisors (2082409839459).

3106086762141 is a wasteful number, since it uses less digits than its factorization.

3106086762141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3106086762141 in words is "three trillion, one hundred six billion, eighty-six million, seven hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 163 171 209 489 627 1229 1467 1793 1881 3097 3687 5379 8243 9291 11061 13519 16137 23351 24729 27873 34067 40557 70053 74187 90673 102201 121671 156617 200327 210159 256861 272019 306603 469851 600981 770583 816057 1343609 1409553 1722787 1802943 2203597 2311749 3806213 4030827 5168361 6610791 10130647 11418639 12092481 14779699 15505083 19832373 25528571 30391941 34255917 41868343 44339097 76585713 91175823 111437117 125605029 133017291 192482293 229757139 280814281 334311351 376815087 577446879 842442843 1002934053 1651295461 1732340637 2117305223 2527328529 4953886383 6351915669 14861659149 18164250071 19055747007 31374613759 54492750213 94123841277 163478250639 282371523831 345120751349 1035362254047 3106086762141