Search a number
-
+
131321023003320 = 23358313184841667
BaseRepresentation
bin11101110110111110001110…
…111011010111101010111000
3122012222011111212211221222120
4131312332032323113222320
5114203030423342101240
61143144013425321240
736442426241026053
oct3566761673275270
9565864455757876
10131321023003320
113892aa29a53a27
121288aa88a96220
135837699c89857
14245dd85847a9a
15102ae63e61ad0
hex776f8eed7ab8

131321023003320 has 64 divisors (see below), whose sum is σ = 398709612040320. Its totient is φ = 34597024531584.

The previous prime is 131321023003283. The next prime is 131321023003327. The reversal of 131321023003320 is 23300320123131.

It is a super-2 number, since 2×1313210230033202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321023003327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6592410874 + ... + 6592430793.

It is an arithmetic number, because the mean of its divisors is an integer number (6229837688130).

Almost surely, 2131321023003320 is an apocalyptic number.

131321023003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321023003320 is an abundant number, since it is smaller than the sum of its proper divisors (267388589037000).

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

131321023003320 is a wasteful number, since it uses less digits than its factorization.

131321023003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184841764 (or 13184841760 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131321023003320 its reverse (23300320123131), we get a palindrome (154621343126451).

The spelling of 131321023003320 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, twenty-three million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 13184841667 26369683334 39554525001 52739366668 65924208335 79109050002 105478733336 131848416670 158218100004 197772625005 263696833340 316436200008 395545250010 527393666680 791090500020 1094341858361 1582181000040 2188683716722 3283025575083 4377367433444 5471709291805 6566051150166 8754734866888 10943418583610 13132102300332 16415127875415 21886837167220 26264204600664 32830255750830 43773674334440 65660511501660 131321023003320