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131300130300 = 223522996715607
BaseRepresentation
bin111101001001000011…
…0001111110111111100
3110112220112100201002220
41322102012033313330
54122400313132200
6140152441245340
712325511456463
oct1722206176774
9415815321086
10131300130300
1150758556289
1221544193850
13c4c6356bc1
1464d80219da
15363707c4a0
hex1e9218fdfc

131300130300 has 144 divisors (see below), whose sum is σ = 393426485760. Its totient is φ = 33768887040.

The previous prime is 131300130281. The next prime is 131300130319. The reversal of 131300130300 is 3031003131.

131300130300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131300130281) and next prime (131300130319).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131300130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8405097 + ... + 8420703.

Almost surely, 2131300130300 is an apocalyptic number.

131300130300 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 131300130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196713242880).

131300130300 is an abundant number, since it is smaller than the sum of its proper divisors (262126355460).

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

131300130300 is a wasteful number, since it uses less digits than its factorization.

131300130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16620 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 131300130300 its reverse (3031003131), we get a palindrome (134331133431).

The spelling of 131300130300 in words is "one hundred thirty-one billion, three hundred million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 967 1450 1740 1934 2175 2900 2901 3868 4350 4835 5802 8700 9670 11604 14505 15607 19340 24175 28043 29010 31214 46821 48350 56086 58020 62428 72525 78035 84129 93642 96700 112172 140215 145050 156070 168258 187284 234105 280430 290100 312140 336516 390175 420645 452603 468210 560860 701075 780350 841290 905206 936420 1170525 1357809 1402150 1560700 1682580 1810412 2103225 2263015 2341050 2715618 2804300 4206450 4526030 4682100 5431236 6789045 8412900 9052060 11315075 13578090 15091969 22630150 27156180 30183938 33945225 45260300 45275907 60367876 67890450 75459845 90551814 135780900 150919690 181103628 226379535 301839380 377299225 437667101 452759070 754598450 875334202 905518140 1131897675 1313001303 1509196900 1750668404 2188335505 2263795350 2626002606 4376671010 4527590700 5252005212 6565006515 8753342020 10941677525 13130013030 21883355050 26260026060 32825032575 43766710100 65650065150 131300130300