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131303032200 = 233252371971517
BaseRepresentation
bin111101001001001000…
…1010100010110001000
3110112220201211010202200
41322102101110112020
54122402034012300
6140153023400200
712325545234024
oct1722221242610
9415821733680
10131303032200
115075a15854a
1221545153060
13c4c6b319c2
1464d8579384
153637452200
hex1e92454588

131303032200 has 144 divisors (see below), whose sum is σ = 452877399780. Its totient is φ = 34067796480.

The previous prime is 131303032193. The next prime is 131303032249. The reversal of 131303032200 is 2230303131.

131303032200 is a `hidden beast` number, since 1 + 313 + 0 + 30 + 322 + 0 + 0 = 666.

131303032200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 30739206276 + 100563825924 = 175326^2 + 317118^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 919159 + ... + 1052358.

Almost surely, 2131303032200 is an apocalyptic number.

131303032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303032200 is an abundant number, since it is smaller than the sum of its proper divisors (321574367580).

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

131303032200 is a wasteful number, since it uses less digits than its factorization.

131303032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971576 (or 1971564 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131303032200 its reverse (2230303131), we get a palindrome (133533335331).

The spelling of 131303032200 in words is "one hundred thirty-one billion, three hundred three million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 1971517 3943034 5914551 7886068 9857585 11829102 15772136 17743653 19715170 23658204 29572755 35487306 39430340 47316408 49287925 59145510 70974612 72946129 78860680 88718265 98575850 118291020 141949224 145892258 147863775 177436530 197151700 218838387 236582040 291784516 295727550 354873060 364730645 394303400 437676774 443591325 583569032 591455100 656515161 709746120 729461290 875353548 887182650 1094191935 1182910200 1313030322 1458922580 1750707096 1774365300 1823653225 2188383870 2626060644 2917845160 3282575805 3548730600 3647306450 4376767740 5252121288 5470959675 6565151610 7294612900 8753535480 10941919350 13130303220 14589225800 16412879025 21883838700 26260606440 32825758050 43767677400 65651516100 131303032200