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131141340302140 = 22576157947265003
BaseRepresentation
bin11101110100010110111001…
…000000010000101100111100
3122012022222201111010222220001
4131310112321000100230330
5114142104431104132030
61142525300001404044
736423435444204310
oct3564267100205474
9565288644128801
10131141340302140
1138870803831083
12128600a1639624
135823762cbbbac
1424553bbc45b40
151026449532cca
hex7745b9010b3c

131141340302140 has 96 divisors (see below), whose sum is σ = 319905603730944. Its totient is φ = 44224720968960.

The previous prime is 131141340302123. The next prime is 131141340302149. The reversal of 131141340302140 is 41203043141131.

It is a super-2 number, since 2×1311413403021402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131141340302099 and 131141340302108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141340302149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494734879 + ... + 494999881.

It is an arithmetic number, because the mean of its divisors is an integer number (3332350038864).

Almost surely, 2131141340302140 is an apocalyptic number.

131141340302140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340302140 is an abundant number, since it is smaller than the sum of its proper divisors (188764263428804).

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

131141340302140 is a wasteful number, since it uses less digits than its factorization.

131141340302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323027 (or 323025 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131141340302140 its reverse (41203043141131), we get a palindrome (172344383443271).

The spelling of 131141340302140 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, three hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 57947 115894 231788 265003 289735 405629 530006 579470 811258 1060012 1158940 1325015 1622516 1855021 2028145 2650030 3534767 3710042 4056290 5300060 7069534 7420084 8112580 9275105 14139068 16165183 17673835 18550210 24743369 32330366 35347670 37100420 49486738 64660732 70695340 80825915 98973476 113156281 123716845 161651830 226312562 247433690 323303660 452625124 494867380 565781405 1131562810 2263125620 15356128841 30712257682 61424515364 76780644205 107492901887 153561288410 214985803774 307122576820 429971607548 537464509435 936723859301 1074929018870 1873447718602 2149858037740 3746895437204 4683619296505 6557067015107 9367238593010 13114134030214 18734477186020 26228268060428 32785335075535 65570670151070 131141340302140