Search a number
-
+
131344000348 = 221143233401743
BaseRepresentation
bin111101001010010110…
…1100110010101011100
3110120000120220112111111
41322110231212111130
54122443031002343
6140201045431404
712326553403501
oct1722455462534
9416016815444
10131344000348
115078029a520
1221556a0b564
13c502477102
1464ddba14a8
15363ad45c9d
hex1e94b6655c

131344000348 has 96 divisors (see below), whose sum is σ = 258670444032. Its totient is φ = 57840384000.

The previous prime is 131344000327. The next prime is 131344000379. The reversal of 131344000348 is 843000443131.

It is a super-2 number, since 2×1313440003482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176774865 + ... + 176775607.

It is an arithmetic number, because the mean of its divisors is an integer number (2694483792).

Almost surely, 2131344000348 is an apocalyptic number.

131344000348 is the 193719-th centered heptagonal number.

It is an amenable number.

131344000348 is a deficient number, since it is larger than the sum of its proper divisors (127326443684).

131344000348 is a wasteful number, since it uses less digits than its factorization.

131344000348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 131344000348 its reverse (843000443131), we get a palindrome (974344443479).

The spelling of 131344000348 in words is "one hundred thirty-one billion, three hundred forty-four million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 11 22 43 44 86 172 233 401 466 473 743 802 932 946 1486 1604 1892 2563 2972 4411 5126 8173 8822 10019 10252 16346 17243 17644 20038 31949 32692 34486 40076 63898 68972 93433 110209 127796 173119 186866 189673 220418 297943 346238 351439 373732 379346 440836 595886 692476 702878 758692 1027763 1191772 1405756 1904309 2055526 3277373 3808618 4017619 4111052 6554746 7444117 7617236 8035238 12811549 13109492 14888234 16070476 25623098 29776468 44193809 51246196 69420719 81885287 88387618 138841438 140927039 163770574 176775236 277682876 281854078 327541148 563708156 763627909 1527255818 2985090917 3054511636 5970181834 11940363668 32836000087 65672000174 131344000348