Search a number
-
+
3211132131130 = 2571119219489551
BaseRepresentation
bin101110101110100110011…
…000111101011100111010
3102100222111022121211000111
4232232212120331130322
5410102344311144010
610455101305454534
7450665563521640
oct56564630753472
912328438554014
103211132131130
111028919412850
1243a4097a144a
131a3a6825a201
14b15c3641190
15587e015758a
hex2eba663d73a

3211132131130 has 64 divisors (see below), whose sum is σ = 7585558917120. Its totient is φ = 948194856000.

The previous prime is 3211132131127. The next prime is 3211132131131. The reversal of 3211132131130 is 311312311123.

It is a super-3 number, since 3×32111321311303 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3211132131131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109730146 + ... + 109759405.

It is an arithmetic number, because the mean of its divisors is an integer number (118524358080).

Almost surely, 23211132131130 is an apocalyptic number.

3211132131130 is an abundant number, since it is smaller than the sum of its proper divisors (4374426785990).

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

3211132131130 is a wasteful number, since it uses less digits than its factorization.

3211132131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219489595.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 3211132131130 its reverse (311312311123), we get a palindrome (3522444442253).

The spelling of 3211132131130 in words is "three trillion, two hundred eleven billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 385 418 665 770 1045 1330 1463 2090 2926 7315 14630 219489551 438979102 1097447755 1536426857 2194895510 2414385061 3072853714 4170301469 4828770122 7682134285 8340602938 12071925305 15364268570 16900695427 20851507345 24143850610 29192110283 33801390854 41703014690 45873316159 58384220566 84503477135 91746632318 145960551415 169006954270 229366580795 291921102830 321113213113 458733161590 642226426226 1605566065565 3211132131130