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131210420 = 225111735083
BaseRepresentation
bin1111101001000…
…01110010110100
3100010220011212012
413310201302310
5232042213140
621004143352
73152161445
oct764416264
9303804765
10131210420
1168079370
1237b37b58
1321250703
14135d72cc
15b7bc265
hex7d21cb4

131210420 has 48 divisors (see below), whose sum is σ = 318282048. Its totient is φ = 44904960.

The previous prime is 131210411. The next prime is 131210441. The reversal of 131210420 is 24012131.

It is a junction number, because it is equal to n+sod(n) for n = 131210395 and 131210404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13802 + ... + 21281.

It is an arithmetic number, because the mean of its divisors is an integer number (6630876).

Almost surely, 2131210420 is an apocalyptic number.

131210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210420 is an abundant number, since it is smaller than the sum of its proper divisors (187071628).

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

131210420 is a wasteful number, since it uses less digits than its factorization.

131210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35120 (or 35118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131210420 is about 11454.7116943204. The cubic root of 131210420 is about 508.1470888680.

Adding to 131210420 its reverse (24012131), we get a palindrome (155222551).

The spelling of 131210420 in words is "one hundred thirty-one million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 35083 70166 140332 175415 350830 385913 596411 701660 771826 1192822 1543652 1929565 2385644 2982055 3859130 5964110 6560521 7718260 11928220 13121042 26242084 32802605 65605210 131210420