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131403020200420 = 225449809111716193
BaseRepresentation
bin11101111000001010100110…
…010101110110100111100100
3122020021000011102001011100111
4131320022212111312213210
5114210401341132403140
61143245414130022404
736451361223506533
oct3570124625664744
9566230142034314
10131403020200420
1138961787262821
12128a2951717a04
135842336ac6ca7
142463d2394c31a
15102d16293c7ea
hex7782a65769e4

131403020200420 has 96 divisors (see below), whose sum is σ = 277167791628000. Its totient is φ = 52329194717184.

The previous prime is 131403020200373. The next prime is 131403020200447. The reversal of 131403020200420 is 24002020304131.

It can be written as a sum of positive squares in 16 ways, for example, as 2878716235684 + 128524303964736 = 1696678^2 + 11336856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131403020200391 and 131403020200400.

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, 8114795844 + ... + 8114812036.

It is an arithmetic number, because the mean of its divisors is an integer number (2887164496125).

Almost surely, 2131403020200420 is an apocalyptic number.

131403020200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403020200420 is an abundant number, since it is smaller than the sum of its proper divisors (145764771427580).

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

131403020200420 is a wasteful number, since it uses less digits than its factorization.

131403020200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18577 (or 18575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131403020200420 its reverse (24002020304131), we get a palindrome (155405040504551).

The spelling of 131403020200420 in words is "one hundred thirty-one trillion, four hundred three billion, twenty million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 449 809 898 1117 1618 1796 2234 2245 3236 4045 4468 4490 5585 8090 8980 11170 16180 16193 22340 32386 64772 80965 161930 323860 363241 501533 726482 903653 1003066 1452964 1807306 1816205 2006132 2507665 3614612 3632410 4518265 5015330 7264820 7270657 9036530 10030660 13100137 14541314 18073060 18087581 26200274 29082628 36175162 36353285 52400548 65500685 72350324 72706570 90437905 131001370 145413140 180875810 262002740 361751620 405740197 811480394 1622960788 2028700985 4057401970 5881961513 8114803940 8121323869 11763923026 14632853029 16242647738 23527846052 29265706058 29409807565 32485295476 40606619345 58531412116 58819615130 73164265145 81213238690 117639230260 146328530290 162426477380 292657060580 6570151010021 13140302020042 26280604040084 32850755050105 65701510100210 131403020200420