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131503136370 = 23517418970663
BaseRepresentation
bin111101001111000110…
…0101001111001110010
3110120102200100111002020
41322132030221321302
54123304300330440
6140224532332310
712333525134064
oct1723614517162
9416380314066
10131503136370
11508521017a1
12215a0174096
13c529424538
146516d87734
153649ccc3d0
hex1e9e329e72

131503136370 has 128 divisors (see below), whose sum is σ = 346174456320. Its totient is φ = 31837470720.

The previous prime is 131503136363. The next prime is 131503136383. The reversal of 131503136370 is 73631305131.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1825659 + ... + 1896321.

It is an arithmetic number, because the mean of its divisors is an integer number (2704487940).

Almost surely, 2131503136370 is an apocalyptic number.

131503136370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131503136370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173087228160).

131503136370 is an abundant number, since it is smaller than the sum of its proper divisors (214671319950).

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

131503136370 is a wasteful number, since it uses less digits than its factorization.

131503136370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70820.

The product of its (nonzero) digits is 17010, while the sum is 33.

The spelling of 131503136370 in words is "one hundred thirty-one billion, five hundred three million, one hundred thirty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 89 102 123 170 178 205 246 255 267 410 445 510 534 615 697 890 1230 1335 1394 1513 2091 2670 3026 3485 3649 4182 4539 6970 7298 7565 9078 10455 10947 15130 18245 20910 21894 22695 36490 45390 54735 62033 70663 109470 124066 141326 186099 211989 310165 353315 372198 423978 620330 706630 930495 1059945 1201271 1860990 2119890 2402542 2897183 3603813 5794366 6006355 6289007 7207626 8691549 12012710 12578014 14485915 17383098 18019065 18867021 28971830 31445035 36038130 37734042 43457745 49252111 62890070 86915490 94335105 98504222 106913119 147756333 188670210 213826238 246260555 257849287 295512666 320739357 492521110 515698574 534565595 641478714 738781665 773547861 1069131190 1289246435 1477563330 1547095722 1603696785 2578492870 3207393570 3867739305 4383437879 7735478610 8766875758 13150313637 21917189395 26300627274 43834378790 65751568185 131503136370