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131343214231420 = 225107353237173331
BaseRepresentation
bin11101110111010010111001…
…101000001011111101111100
3122020001021210102120011002121
4131313102321220023331330
5114203411400320401140
61143202123432332324
736444143201246062
oct3567227150137574
9566037712504077
10131343214231420
1138939387361064
12128932408440a4
1358397c5614259
14246108cb66032
15102b81226564a
hex7774b9a0bf7c

131343214231420 has 96 divisors (see below), whose sum is σ = 279308737886976. Its totient is φ = 51876246681600.

The previous prime is 131343214231387. The next prime is 131343214231433. The reversal of 131343214231420 is 24132412343131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791064155 + ... + 1791137485.

It is an arithmetic number, because the mean of its divisors is an integer number (2909466019656).

Almost surely, 2131343214231420 is an apocalyptic number.

131343214231420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343214231420 is an abundant number, since it is smaller than the sum of its proper divisors (147965523655556).

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

131343214231420 is a wasteful number, since it uses less digits than its factorization.

131343214231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76171 (or 76169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 131343214231420 its reverse (24132412343131), we get a palindrome (155475626574551).

The spelling of 131343214231420 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred fourteen million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107 214 353 428 535 706 1070 1412 1765 2140 2371 3530 4742 7060 9484 11855 23710 37771 47420 73331 75542 146662 151084 188855 253697 293324 366655 377710 507394 733310 755420 836963 1014788 1268485 1466620 1673926 2536970 3347852 4184815 5073940 7846417 8369630 15692834 16739260 25885843 31385668 39232085 51771686 78464170 89555041 103543372 129429215 156928340 173867801 179110082 258858430 347735602 358220164 447775205 517716860 695471204 869339005 895550410 1738678010 1791100820 2769785201 3477356020 5539570402 11079140804 13848926005 18603854707 27697852010 37207709414 55395704020 61375333753 74415418828 93019273535 122750667506 186038547070 245501335012 306876668765 372077094140 613753337530 1227506675060 6567160711571 13134321423142 26268642846284 32835803557855 65671607115710 131343214231420