Search a number
-
+
260255632131 = 3211195911320753
BaseRepresentation
bin1111001001100001110…
…0011100101100000011
3220212202122212221121100
43302120130130230003
513231000420212011
6315320525225443
724542243241615
oct3623034345403
9825678787540
10260255632131
11a0412579490
1242533102283
131b707a11481
14c84c8b8db5
156b8336ed56
hex3c9871cb03

260255632131 has 96 divisors (see below), whose sum is σ = 442906963200. Its totient is φ = 145589391360.

The previous prime is 260255632129. The next prime is 260255632159. The reversal of 260255632131 is 131236552062.

260255632131 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 5 + 5 + 632 + 13 + 1 = 666.

It is not a de Polignac number, because 260255632131 - 21 = 260255632129 is a prime.

It is a super-2 number, since 2×2602556321312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260255632181) 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, 12530251 + ... + 12551003.

It is an arithmetic number, because the mean of its divisors is an integer number (4613614200).

Almost surely, 2260255632131 is an apocalyptic number.

260255632131 is a deficient number, since it is larger than the sum of its proper divisors (182651331069).

260255632131 is a wasteful number, since it uses less digits than its factorization.

260255632131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20961 (or 20958 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 260255632131 in words is "two hundred sixty billion, two hundred fifty-five million, six hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 59 99 113 171 177 209 339 531 627 649 1017 1121 1243 1881 1947 2147 3363 3729 5841 6441 6667 10089 11187 12331 19323 20001 20753 23617 36993 60003 62259 70851 73337 110979 126673 186777 212553 220011 228283 380019 394307 660033 684849 1140057 1182921 1224427 1393403 2054547 2345089 3548763 3673281 4180209 4337377 7035267 11019843 12540627 13012131 13468697 21105801 23264113 25795979 39036393 40406091 44556691 69792339 77387937 121218273 133670073 138360251 209377017 232163811 255905243 401010219 415080753 490123601 767715729 1245242259 1470370803 1521962761 2303147187 2628844769 4411112409 4565888283 7886534307 13697664849 23659602921 28917292459 86751877377 260255632131