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131303110330320 = 24352592712110133
BaseRepresentation
bin11101110110101101100011…
…001111111100011111010000
3122012220110021111222220002020
4131312231203033330133100
5114202232232221032240
61143131452142451440
736441223322564445
oct3566554317743720
9565813244886066
10131303110330320
1138923377797645
1212887509b93b80
135835aa3b83666
14245d16686d9cc
15102a7665a80d0
hex776b633fc7d0

131303110330320 has 80 divisors (see below), whose sum is σ = 407041404861312. Its totient is φ = 35014011112960.

The previous prime is 131303110330303. The next prime is 131303110330369. The reversal of 131303110330320 is 23033011303131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1313031103303202 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61169974 + ... + 63280106.

Almost surely, 2131303110330320 is an apocalyptic number.

131303110330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303110330320 is an abundant number, since it is smaller than the sum of its proper divisors (275738294530992).

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

131303110330320 is a wasteful number, since it uses less digits than its factorization.

131303110330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369420 (or 2369414 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131303110330320 its reverse (23033011303131), we get a palindrome (154336121633451).

The spelling of 131303110330320 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred ten million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 259271 518542 777813 1037084 1296355 1555626 2074168 2110133 2592710 3111252 3889065 4148336 4220266 5185420 6222504 6330399 7778130 8440532 10370840 10550665 12445008 12660798 15556260 16881064 20741680 21101330 25321596 31112520 31651995 33762128 42202660 50643192 62225040 63303990 84405320 101286384 126607980 168810640 253215960 506431920 547096293043 1094192586086 1641288879129 2188385172172 2735481465215 3282577758258 4376770344344 5470962930430 6565155516516 8206444395645 8753540688688 10941925860860 13130311033032 16412888791290 21883851721720 26260622066064 32825777582580 43767703443440 65651555165160 131303110330320