Search a number
-
+
130023232131210 = 235111260131268137
BaseRepresentation
bin11101100100000101100100…
…100100000101000010001010
3122001101002200121100211111220
4131210011210210011002022
5114020300034411144320
61140311503115102510
736246603621441435
oct3544054444050212
9561332617324456
10130023232131210
113847a5a7926270
12126bb459441a36
1357721a476b6a2
14241722d83481c
151007308e5ce40
hex76416490508a

130023232131210 has 64 divisors (see below), whose sum is σ = 340451488865664. Its totient is φ = 31518281088000.

The previous prime is 130023232131203. The next prime is 130023232131229. The reversal of 130023232131210 is 12131232320031.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11475739 + ... + 19792398.

It is an arithmetic number, because the mean of its divisors is an integer number (5319554513526).

Almost surely, 2130023232131210 is an apocalyptic number.

130023232131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130023232131210 is an abundant number, since it is smaller than the sum of its proper divisors (210428256734454).

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

130023232131210 is a wasteful number, since it uses less digits than its factorization.

130023232131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31280759.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130023232131210 its reverse (12131232320031), we get a palindrome (142154464451241).

The spelling of 130023232131210 in words is "one hundred thirty trillion, twenty-three billion, two hundred thirty-two million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 12601 25202 37803 63005 75606 126010 138611 189015 277222 378030 415833 693055 831666 1386110 2079165 4158330 31268137 62536274 93804411 156340685 187608822 312681370 343949507 469022055 687899014 938044110 1031848521 1719747535 2063697042 3439495070 5159242605 10318485210 394009794337 788019588674 1182029383011 1970048971685 2364058766022 3940097943370 4334107737707 5910146915055 8668215475414 11820293830110 13002323213121 21670538688535 26004646426242 43341077377070 65011616065605 130023232131210