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131350035740 = 225711501117021
BaseRepresentation
bin111101001010100010…
…0100111110100011100
3110120001000021011111112
41322111010213310130
54123001102120430
6140201423041152
712326655611420
oct1722504476434
9416030234445
10131350035740
1150783741a50
1221558a401b8
13c5037ab251
1465008d2b80
15363b639195
hex1e95127d1c

131350035740 has 96 divisors (see below), whose sum is σ = 343987112448. Its totient is φ = 40929696000.

The previous prime is 131350035731. The next prime is 131350035757. The reversal of 131350035740 is 47530053131.

It is a junction number, because it is equal to n+sod(n) for n = 131350035697 and 131350035706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7708430 + ... + 7725450.

It is an arithmetic number, because the mean of its divisors is an integer number (3583199088).

Almost surely, 2131350035740 is an apocalyptic number.

131350035740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131350035740 is an abundant number, since it is smaller than the sum of its proper divisors (212637076708).

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

131350035740 is a wasteful number, since it uses less digits than its factorization.

131350035740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22059 (or 22057 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 131350035740 its reverse (47530053131), we get a palindrome (178880088871).

The spelling of 131350035740 in words is "one hundred thirty-one billion, three hundred fifty million, thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 5011 10022 17021 20044 25055 34042 35077 50110 55121 68084 70154 85105 100220 110242 119147 140308 170210 175385 187231 220484 238294 275605 340420 350770 374462 385847 476588 551210 595735 701540 748924 771694 936155 1102420 1191470 1310617 1543388 1872310 1929235 2382940 2621234 3744620 3858470 5242468 6553085 7716940 13106170 26212340 85292231 170584462 341168924 426461155 597045617 852922310 938214541 1194091234 1705844620 1876429082 2388182468 2985228085 3752858164 4691072705 5970456170 6567501787 9382145410 11940912340 13135003574 18764290820 26270007148 32837508935 65675017870 131350035740