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131219380 = 22521793011
BaseRepresentation
bin1111101001000…
…11111110110100
3100010220122011001
413310203332310
5232043010010
621004253044
73152226535
oct764437664
9303818131
10131219380
1168085076
1237b41184
1321254806
14135da68c
15b7bec3a
hex7d23fb4

131219380 has 24 divisors (see below), whose sum is σ = 275778720. Its totient is φ = 52446240.

The previous prime is 131219327. The next prime is 131219381. The reversal of 131219380 is 83912131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131219381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42075 + ... + 45085.

It is an arithmetic number, because the mean of its divisors is an integer number (11490780).

Almost surely, 2131219380 is an apocalyptic number.

131219380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131219380 is an abundant number, since it is smaller than the sum of its proper divisors (144559340).

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

131219380 is a wasteful number, since it uses less digits than its factorization.

131219380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 131219380 is about 11455.1027930787. The cubic root of 131219380 is about 508.1586552621.

The spelling of 131219380 in words is "one hundred thirty-one million, two hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 2179 3011 4358 6022 8716 10895 12044 15055 21790 30110 43580 60220 6560969 13121938 26243876 32804845 65609690 131219380