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131200404230 = 25722918774919
BaseRepresentation
bin111101000110000100…
…1110100101100000110
3110112122120201002122202
41322030021310230012
54122144300413410
6140134515554502
712323161015100
oct1721411645406
9415576632582
10131200404230
1150707231645
12215168bba32
13c4ab7aacac
1464c8aa2570
15362d42dca5
hex1e8c274b06

131200404230 has 96 divisors (see below), whose sum is σ = 284399812800. Its totient is φ = 43399894272.

The previous prime is 131200404217. The next prime is 131200404233. The reversal of 131200404230 is 32404002131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200404233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26669711 + ... + 26674629.

It is an arithmetic number, because the mean of its divisors is an integer number (2962498050).

Almost surely, 2131200404230 is an apocalyptic number.

131200404230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131200404230 is an abundant number, since it is smaller than the sum of its proper divisors (153199408570).

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

131200404230 is a wasteful number, since it uses less digits than its factorization.

131200404230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131200404230 its reverse (32404002131), we get a palindrome (163604406361).

The spelling of 131200404230 in words is "one hundred thirty-one billion, two hundred million, four hundred four thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 1015 1421 1877 2030 2842 3754 4919 7105 9385 9838 13139 14210 18770 24595 26278 34433 49190 54433 65695 68866 91973 108866 131390 142651 172165 183946 241031 272165 285302 344330 381031 459865 482062 544330 713255 762062 919730 998557 1205155 1426510 1905155 1997114 2410310 2667217 3810310 4992785 5334434 6989899 9232963 9985570 13336085 13979798 18465926 26672170 34949495 46164815 64630741 69898990 92329630 129261482 267755927 323153705 452415187 535511854 646307410 904830374 1338779635 1874291489 2262075935 2677559270 3748582978 4524151870 9371457445 13120040423 18742914890 26240080846 65600202115 131200404230