Search a number
-
+
131203001411300 = 22527313294243107
BaseRepresentation
bin11101110101010000010100…
…010010101110011011100100
3122012112212212202101220000202
4131311100110102232123210
5114144112221330130200
61143013454325130032
736431050454036000
oct3565202422563344
9565485782356022
10131203001411300
1138894975929025
121287002b859918
13582950b9298c0
14245838b179700
151027d57a061d5
hex7754144ae6e4

131203001411300 has 144 divisors (see below), whose sum is σ = 357564224841600. Its totient is φ = 41523587118720.

The previous prime is 131203001411291. The next prime is 131203001411351. The reversal of 131203001411300 is 3114100302131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 146675654 + ... + 147567453.

Almost surely, 2131203001411300 is an apocalyptic number.

131203001411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131203001411300 is an abundant number, since it is smaller than the sum of its proper divisors (226361223430300).

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

131203001411300 is a wasteful number, since it uses less digits than its factorization.

131203001411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294243155 (or 294243134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131203001411300 its reverse (3114100302131), we get a palindrome (134317101713431).

The spelling of 131203001411300 in words is "one hundred thirty-one trillion, two hundred three billion, one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 343 350 364 455 490 637 650 686 700 910 980 1225 1274 1300 1372 1715 1820 2275 2450 2548 3185 3430 4459 4550 4900 6370 6860 8575 8918 9100 12740 15925 17150 17836 22295 31850 34300 44590 63700 89180 111475 222950 445900 294243107 588486214 1176972428 1471215535 2059701749 2942431070 3825160391 4119403498 5884862140 7356077675 7650320782 8238806996 10298508745 14417912243 14712155350 15300641564 19125801955 20597017490 26776122737 28835824486 29424310700 38251603910 41194034980 51492543725 53552245474 57671648972 72089561215 76503207820 95629009775 100925385701 102985087450 107104490948 133880613685 144179122430 187432859159 191258019550 201850771402 205970174900 267761227370 288358244860 360447806075 374865718318 382516039100 403701542804 504626928505 535522454740 669403068425 720895612150 749731436636 937164295795 1009253857010 1312030014113 1338806136850 1441791224300 1874328591590 2018507714020 2523134642525 2624060028226 2677612273700 3748657183180 4685821478975 5046269285050 5248120056452 6560150070565 9371642957950 10092538570100 13120300141130 18743285915900 26240600282260 32800750352825 65601500705650 131203001411300