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131203131120 = 243251237714723
BaseRepresentation
bin111101000110001010…
…0001110011011110000
3110112122202211122020200
41322030110032123300
54122201000143440
6140135054235200
712323223133155
oct1721424163360
9415582748220
10131203131120
1150708824376
12215177b5b00
13c4ac224239
1464c91b222c
15362d7bbc30
hex1e8c50e6f0

131203131120 has 120 divisors (see below), whose sum is σ = 440689378896. Its totient is φ = 34982298624.

The previous prime is 131203131083. The next prime is 131203131133. The reversal of 131203131120 is 21131302131.

131203131120 is a `hidden beast` number, since 131 + 203 + 1 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 131203131093 and 131203131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8904079 + ... + 8918801.

Almost surely, 2131203131120 is an apocalyptic number.

131203131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131203131120 is an abundant number, since it is smaller than the sum of its proper divisors (309486247776).

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

131203131120 is a wasteful number, since it uses less digits than its factorization.

131203131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27119 (or 27110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131203131120 its reverse (21131302131), we get a palindrome (152334433251).

The spelling of 131203131120 in words is "one hundred thirty-one billion, two hundred three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 12377 14723 24754 29446 37131 44169 49508 58892 61885 73615 74262 88338 99016 111393 117784 123770 132507 147230 148524 176676 185655 198032 220845 222786 235568 247540 265014 294460 297048 353352 371310 441690 445572 495080 530028 556965 588920 594096 662535 706704 742620 883380 891144 990160 1060056 1113930 1177840 1325070 1485240 1766760 1782288 2120112 2227860 2650140 2970480 3533520 4455720 5300280 8911440 10600560 182226571 364453142 546679713 728906284 911132855 1093359426 1457812568 1640039139 1822265710 2186718852 2733398565 2915625136 3280078278 3644531420 4373437704 5466797130 6560156556 7289062840 8200195695 8746875408 10933594260 13120313112 14578125680 16400391390 21867188520 26240626224 32800782780 43734377040 65601565560 131203131120