Search a number
-
+
10041205142202 = 2313593635334171
BaseRepresentation
bin1001001000011110011001…
…1101110011001010111010
31022112221002211222100122020
42102013212131303022322
52304003342004022302
633204511014135310
72054311265311233
oct222074635631272
938487084870566
1010041205142202
1132214a6590253
121162077351536
1357ab5cab2980
14269dd57a808a
151262dc62debc
hex921e67732ba

10041205142202 has 64 divisors (see below), whose sum is σ = 21667725991296. Its totient is φ = 3083815710720.

The previous prime is 10041205142183. The next prime is 10041205142203. The reversal of 10041205142202 is 20224150214001.

It is not an unprimeable number, because it can be changed into a prime (10041205142203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293834577 + ... + 293868747.

It is an arithmetic number, because the mean of its divisors is an integer number (338558218614).

Almost surely, 210041205142202 is an apocalyptic number.

10041205142202 is an abundant number, since it is smaller than the sum of its proper divisors (11626520849094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10041205142202 is a wasteful number, since it uses less digits than its factorization.

10041205142202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41135.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10041205142202 its reverse (20224150214001), we get a palindrome (30265355356203).

The spelling of 10041205142202 in words is "ten trillion, forty-one billion, two hundred five million, one hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 78 593 1186 1779 3558 6353 7709 12706 15418 19059 23127 34171 38118 46254 68342 82589 102513 165178 205026 247767 444223 495534 888446 1332669 2665338 3767329 7534658 11301987 20263403 22603974 40526806 48975277 60790209 97950554 121580418 146925831 217088363 263424239 293851662 434176726 526848478 651265089 790272717 1302530178 1580545434 2822148719 5644297438 8466446157 16932892314 128733399259 257466798518 386200197777 772400395554 1673534190367 3347068380734 5020602571101 10041205142202