Search a number
-
+
131210320 = 2456012729
BaseRepresentation
bin1111101001000…
…01110001010000
3100010220011201111
413310201301100
5232042212240
621004143104
73152161243
oct764416120
9303804644
10131210320
116807928a
1237b37a94
1321250657
14135d725a
15b7bc1ea
hex7d21c50

131210320 has 40 divisors (see below), whose sum is σ = 305683560. Its totient is φ = 52377600.

The previous prime is 131210309. The next prime is 131210357. The reversal of 131210320 is 23012131.

It can be written as a sum of positive squares in 4 ways, for example, as 68293696 + 62916624 = 8264^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1312103202 = 34432296149004800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131210320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46716 + ... + 49444.

It is an arithmetic number, because the mean of its divisors is an integer number (7642089).

Almost surely, 2131210320 is an apocalyptic number.

131210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210320 is an abundant number, since it is smaller than the sum of its proper divisors (174473240).

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

131210320 is a wasteful number, since it uses less digits than its factorization.

131210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 131210320 is about 11454.7073293035. The cubic root of 131210320 is about 508.1469597758.

Adding to 131210320 its reverse (23012131), we get a palindrome (154222451).

The spelling of 131210320 in words is "one hundred thirty-one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 601 1202 2404 2729 3005 4808 5458 6010 9616 10916 12020 13645 21832 24040 27290 43664 48080 54580 109160 218320 1640129 3280258 6560516 8200645 13121032 16401290 26242064 32802580 65605160 131210320