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130233040300 = 2252112337139123
BaseRepresentation
bin111100101001001111…
…1100111110110101100
3110110011011102220211001
41321102133213312230
54113204124242200
6135454522010044
712260203402066
oct1712237476654
9413134386731
10130233040300
1150260179820
12212a6946924
13c3862598bc
14643640c736
1535c354776a
hex1e527e7dac

130233040300 has 144 divisors (see below), whose sum is σ = 330398353152. Its totient is φ = 44073849600.

The previous prime is 130233040291. The next prime is 130233040303. The reversal of 130233040300 is 3040332031.

It is not an unprimeable number, because it can be changed into a prime (130233040303) 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 47 ways as a sum of consecutive naturals, for example, 866539 + ... + 1005661.

It is an arithmetic number, because the mean of its divisors is an integer number (2294433008).

Almost surely, 2130233040300 is an apocalyptic number.

130233040300 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 130233040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165199176576).

130233040300 is an abundant number, since it is smaller than the sum of its proper divisors (200165312852).

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

130233040300 is a wasteful number, since it uses less digits than its factorization.

130233040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139208 (or 139201 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 130233040300 its reverse (3040332031), we get a palindrome (133273372331).

The spelling of 130233040300 in words is "one hundred thirty billion, two hundred thirty-three million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 37 44 46 50 55 74 92 100 110 115 148 185 220 230 253 275 370 407 460 506 550 575 740 814 851 925 1012 1100 1150 1265 1628 1702 1850 2035 2300 2530 3404 3700 4070 4255 5060 6325 8140 8510 9361 10175 12650 17020 18722 20350 21275 25300 37444 40700 42550 46805 85100 93610 139123 187220 234025 278246 468050 556492 695615 936100 1391230 1530353 2782460 3060706 3199829 3478075 5147551 6121412 6399658 6956150 7651765 10295102 12799316 13912300 15303530 15999145 20590204 25737755 30607060 31998290 35198119 38258825 51475510 56623061 63996580 70396238 76517650 79995725 102951020 113246122 118393673 128688775 140792476 153035300 159991450 175990595 226492244 236787346 257377550 283115305 319982900 351981190 473574692 514755100 566230610 591968365 703962380 879952975 1132461220 1183936730 1302330403 1415576525 1759905950 2367873460 2604660806 2831153050 2959841825 3519811900 5209321612 5662306100 5919683650 6511652015 11839367300 13023304030 26046608060 32558260075 65116520150 130233040300