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131331533554140 = 223516394714180129
BaseRepresentation
bin11101110111001000000001…
…011001111100000111011100
3122020000011122101022021011120
4131313020001121330013130
5114203213440042213030
61143152512411050540
736443250555160263
oct3567100131740734
9566004571267146
10131331533554140
1138934432981367
1212890b20a40a50
1358386836845aa
1424606a170b5da
15102b37ba6e010
hex77720167c1dc

131331533554140 has 96 divisors (see below), whose sum is σ = 370375012788480. Its totient is φ = 34770127620096.

The previous prime is 131331533554069. The next prime is 131331533554181. The reversal of 131331533554140 is 41455335133131.

It is a super-2 number, since 2×1313315335541402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131331533554092 and 131331533554101.

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, 2171596 + ... + 16351724.

It is an arithmetic number, because the mean of its divisors is an integer number (3858073049880).

Almost surely, 2131331533554140 is an apocalyptic number.

131331533554140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331533554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185187506394240).

131331533554140 is an abundant number, since it is smaller than the sum of its proper divisors (239043479234340).

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

131331533554140 is a wasteful number, since it uses less digits than its factorization.

131331533554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14181251 (or 14181249 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 131331533554140 its reverse (41455335133131), we get a palindrome (172786868687271).

The spelling of 131331533554140 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, five hundred thirty-three million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 947 978 1630 1894 1956 2445 2841 3260 3788 4735 4890 5682 9470 9780 11364 14205 18940 28410 56820 154361 308722 463083 617444 771805 926166 1543610 1852332 2315415 3087220 4630830 9261660 14180129 28360258 42540387 56720516 70900645 85080774 141801290 170161548 212701935 283602580 425403870 850807740 2311361027 4622722054 6934083081 9245444108 11556805135 13428582163 13868166162 23113610270 26857164326 27736332324 34670415405 40285746489 46227220540 53714328652 67142910815 69340830810 80571492978 134285821630 138681661620 161142985956 201428732445 268571643260 402857464890 805714929780 2188858892569 4377717785138 6566576677707 8755435570276 10944294462845 13133153355414 21888588925690 26266306710828 32832883388535 43777177851380 65665766777070 131331533554140