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130132022200 = 23521969149559
BaseRepresentation
bin111100100110001111…
…0010001001110111000
3110102220010100200000221
41321030132101032320
54113002244202300
6135440512505424
712254535636505
oct1711436211670
9412803320027
10130132022200
1150209152394
1221278b4b274
13c36b34a88b
146426c344ac
1535b974131a
hex1e4c7913b8

130132022200 has 96 divisors (see below), whose sum is σ = 318948336000. Its totient is φ = 49240828800.

The previous prime is 130132022191. The next prime is 130132022249. The reversal of 130132022200 is 2220231031.

It is a super-2 number, since 2×1301320222002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601021 + ... + 2650579.

It is an arithmetic number, because the mean of its divisors is an integer number (3322378500).

Almost surely, 2130132022200 is an apocalyptic number.

130132022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130132022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159474168000).

130132022200 is an abundant number, since it is smaller than the sum of its proper divisors (188816313800).

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

130132022200 is a wasteful number, since it uses less digits than its factorization.

130132022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50285 (or 50276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130132022200 its reverse (2220231031), we get a palindrome (132352253231).

The spelling of 130132022200 in words is "one hundred thirty billion, one hundred thirty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 691 760 950 1382 1900 2764 3455 3800 5528 6910 13129 13820 17275 26258 27640 34550 49559 52516 65645 69100 99118 105032 131290 138200 198236 247795 262580 328225 396472 495590 525160 656450 941621 991180 1238975 1312900 1883242 1982360 2477950 2625800 3766484 4708105 4955900 7532968 9416210 9911800 18832420 23540525 34245269 37664840 47081050 68490538 94162100 136981076 171226345 188324200 273962152 342452690 650660111 684905380 856131725 1301320222 1369810760 1712263450 2602640444 3253300555 3424526900 5205280888 6506601110 6849053800 13013202220 16266502775 26026404440 32533005550 65066011100 130132022200