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131402302401340 = 22561718917044913
BaseRepresentation
bin11101111000001001111011…
…100011101010101100111100
3122020020221022101101012010101
4131320021323203222230330
5114210343403403320330
61143245215005050444
736451334356354045
oct3570117343525474
9566227271335111
10131402302401340
1138961449066743
12128a2791256a24
1358422511951c9
142463c9649d8cc
15102d11e9014ca
hex77827b8eab3c

131402302401340 has 96 divisors (see below), whose sum is σ = 287614515242880. Its totient is φ = 50398395801600.

The previous prime is 131402302401323. The next prime is 131402302401367. The reversal of 131402302401340 is 43104203204131.

It is a happy number.

It is a super-3 number, since 3×1314023024013403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131402302401299 and 131402302401308.

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, 813277 + ... + 16231636.

It is an arithmetic number, because the mean of its divisors is an integer number (2995984533780).

Almost surely, 2131402302401340 is an apocalyptic number.

131402302401340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402302401340 is an abundant number, since it is smaller than the sum of its proper divisors (156212212841540).

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

131402302401340 is a wasteful number, since it uses less digits than its factorization.

131402302401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17045143 (or 17045141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131402302401340 its reverse (43104203204131), we get a palindrome (174506505605471).

The spelling of 131402302401340 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred two million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 71 89 122 142 178 244 284 305 355 356 445 610 710 890 1220 1420 1780 4331 5429 6319 8662 10858 12638 17324 21655 21716 25276 27145 31595 43310 54290 63190 86620 108580 126380 385459 770918 1541836 1927295 3854590 7709180 17044913 34089826 68179652 85224565 170449130 340898260 1039739693 1210188823 1516997257 2079479386 2420377646 3033994514 4158958772 4840755292 5198698465 6050944115 6067989028 7584986285 10397396930 12101888230 15169972570 20794793860 24203776460 30339945140 73821518203 92536832677 107706805247 147643036406 185073665354 215413610494 295286072812 369107591015 370147330708 430827220988 462684163385 538534026235 738215182030 925368326770 1077068052470 1476430364060 1850736653540 2154136104940 6570115120067 13140230240134 26280460480268 32850575600335 65701151200670 131402302401340