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131551315103340 = 2232511431545117631
BaseRepresentation
bin11101111010010100101101…
…011010000000111001101100
3122020210011221100001202202100
4131322110231122000321230
5114220314043131301330
61143441501224255100
736465161136416346
oct3572245532007154
9566704840052670
10131551315103340
1138a09665927230
1212907639311490
13585330b033b62
14246b190a8c296
151031e419ad060
hex77a52d680e6c

131551315103340 has 144 divisors (see below), whose sum is σ = 445438871894016. Its totient is φ = 31149571420800.

The previous prime is 131551315103333. The next prime is 131551315103399. The reversal of 131551315103340 is 43301513155131.

131551315103340 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 1 + 315 + 1 + 0 + 334 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131551315103295 and 131551315103304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772473676 + ... + 772643955.

It is an arithmetic number, because the mean of its divisors is an integer number (3093325499264).

Almost surely, 2131551315103340 is an apocalyptic number.

131551315103340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131551315103340 is an abundant number, since it is smaller than the sum of its proper divisors (313887556790676).

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

131551315103340 is a wasteful number, since it uses less digits than its factorization.

131551315103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545117700 (or 1545117695 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 131551315103340 its reverse (43301513155131), we get a palindrome (174852828258471).

The spelling of 131551315103340 in words is "one hundred thirty-one trillion, five hundred fifty-one billion, three hundred fifteen million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 1545117631 3090235262 4635352893 6180470524 7725588155 9270705786 13906058679 15451176310 16996293941 18541411572 23176764465 27812117358 30902352620 33992587882 46353528930 50988881823 55624234716 66440058133 67985175764 69530293395 84981469705 92707057860 101977763646 132880116266 139060586790 152966645469 169962939410 199320174399 203955527292 254944409115 265760232532 278121173580 305933290938 332200290665 339925878820 398640348798 509888818230 597960523197 611866581876 664400581330 730840639463 764833227345 797280697596 996600871995 1019777636460 1195921046394 1328801162660 1461681278926 1529666454690 1993201743990 2192521918389 2391842092788 2923362557852 2989802615985 3059332909380 3654203197315 3986403487980 4385043836778 5979605231970 6577565755167 7308406394630 8770087673556 10962609591945 11959210463940 13155131510334 14616812789260 21925219183890 26310263020668 32887828775835 43850438367780 65775657551670 131551315103340