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130013231400 = 233252135556121
BaseRepresentation
bin111100100010101100…
…1000111100100101000
3110102120211211110200200
41321011121013210220
54112231341401100
6135421030432200
712251564142603
oct1710531074450
9412524743620
10130013231400
1150158097078
1221245202660
13c34c858170
14641515133a
1535ae0c8e00
hex1e45647928

130013231400 has 144 divisors (see below), whose sum is σ = 470214604860. Its totient is φ = 32003251200.

The previous prime is 130013231399. The next prime is 130013231473. The reversal of 130013231400 is 4132310031.

130013231400 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 3 + 231 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54837462276 + 75175769124 = 234174^2 + 274182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 2754661 + ... + 2801460.

Almost surely, 2130013231400 is an apocalyptic number.

130013231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013231400 is an abundant number, since it is smaller than the sum of its proper divisors (340201373460).

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

130013231400 is a wasteful number, since it uses less digits than its factorization.

130013231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556156 (or 5556144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130013231400 its reverse (4132310031), we get a palindrome (134145541431).

The spelling of 130013231400 in words is "one hundred thirty billion, thirteen million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 5556121 11112242 16668363 22224484 27780605 33336726 44448968 50005089 55561210 66673452 72229573 83341815 100010178 111122420 133346904 138903025 144459146 166683630 200020356 216688719 222244840 250025445 277806050 288918292 333367260 361147865 400040712 416709075 433377438 500050890 555612100 577836584 650066157 666734520 722295730 833418150 866754876 1000101780 1083443595 1111224200 1250127225 1300132314 1444591460 1666836300 1733509752 1805739325 2000203560 2166887190 2500254450 2600264628 2889182920 3250330785 3333672600 3611478650 4333774380 5000508900 5200529256 5417217975 6500661570 7222957300 8667548760 10001017800 10834435950 13001323140 14445914600 16251653925 21668871900 26002646280 32503307850 43337743800 65006615700 130013231400