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131430040200 = 233252591237571
BaseRepresentation
bin111101001100111010…
…1110100001010001000
3110120020120210210222200
41322121311310022020
54123132042241300
6140213401520200
712331646623524
oct1723165641210
9416216723880
10131430040200
1150814916538
122157b7a3060
13c517240674
14650b39ad84
15364368e200
hex1e99d74288

131430040200 has 144 divisors (see below), whose sum is σ = 448867364400. Its totient is φ = 34453948800.

The previous prime is 131430040171. The next prime is 131430040249. The reversal of 131430040200 is 2040034131.

131430040200 is a `hidden beast` number, since 1 + 31 + 430 + 0 + 4 + 0 + 200 = 666.

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, 512586 + ... + 724985.

It is an arithmetic number, because the mean of its divisors is an integer number (3117134475).

Almost surely, 2131430040200 is an apocalyptic number.

131430040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131430040200 is an abundant number, since it is smaller than the sum of its proper divisors (317437324200).

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

131430040200 is a wasteful number, since it uses less digits than its factorization.

131430040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237652 (or 1237640 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131430040200 its reverse (2040034131), we get a palindrome (133470074331).

The spelling of 131430040200 in words is "one hundred thirty-one billion, four hundred thirty million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 59 60 72 75 90 100 118 120 150 177 180 200 225 236 295 300 354 360 450 472 531 590 600 708 885 900 1062 1180 1416 1475 1770 1800 2124 2360 2655 2950 3540 4248 4425 5310 5900 7080 8850 10620 11800 13275 17700 21240 26550 35400 53100 106200 1237571 2475142 3712713 4950284 6187855 7425426 9900568 11138139 12375710 14850852 18563565 22276278 24751420 29701704 30939275 37127130 44552556 49502840 55690695 61878550 73016689 74254260 89105112 92817825 111381390 123757100 146033378 148508520 185635650 219050067 222762780 247514200 278453475 292066756 365083445 371271300 438100134 445525560 556906950 584133512 657150201 730166890 742542600 876200268 1095250335 1113813900 1314300402 1460333780 1752400536 1825417225 2190500670 2227627800 2628600804 2920667560 3285751005 3650834450 4381001340 5257201608 5476251675 6571502010 7301668900 8762002680 10952503350 13143004020 14603337800 16428755025 21905006700 26286008040 32857510050 43810013400 65715020100 131430040200