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131220100 = 225211119291
BaseRepresentation
bin1111101001001…
…00001010000100
3100010220200010201
413310210022010
5232043020400
621004300244
73152231614
oct764441204
9303820121
10131220100
1168085670
1237b41684
1321254c3b
14135daa44
15b7c006a
hex7d24284

131220100 has 36 divisors (see below), whose sum is σ = 310636368. Its totient is φ = 47716000.

The previous prime is 131220079. The next prime is 131220101. The reversal of 131220100 is 1022131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (131220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58546 + ... + 60745.

It is an arithmetic number, because the mean of its divisors is an integer number (8628788).

Almost surely, 2131220100 is an apocalyptic number.

131220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131220100 is an abundant number, since it is smaller than the sum of its proper divisors (179416268).

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

131220100 is a wasteful number, since it uses less digits than its factorization.

131220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119316 (or 119309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131220100 is about 11455.1342200779. The cubic root of 131220100 is about 508.1595846816.

Adding to 131220100 its reverse (1022131), we get a palindrome (132242231).

It can be divided in two parts, 1312 and 20100, that added together give a palindrome (21412).

The spelling of 131220100 in words is "one hundred thirty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 119291 238582 477164 596455 1192910 1312201 2385820 2624402 2982275 5248804 5964550 6561005 11929100 13122010 26244020 32805025 65610050 131220100