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131241330 = 23351144189
BaseRepresentation
bin1111101001010…
…01010101110010
3100010221202021000
413310221111302
5232044210310
621004542430
73152350533
oct764512562
9303852230
10131241330
116809a610
1237b51a16
13212617bc
141360468a
15b7c64c0
hex7d29572

131241330 has 64 divisors (see below), whose sum is σ = 381801600. Its totient is φ = 31815360.

The previous prime is 131241323. The next prime is 131241337. The reversal of 131241330 is 33142131.

It is an interprime number because it is at equal distance from previous prime (131241323) and next prime (131241337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131241337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19125 + ... + 25064.

It is an arithmetic number, because the mean of its divisors is an integer number (5965650).

Almost surely, 2131241330 is an apocalyptic number.

131241330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131241330 is an abundant number, since it is smaller than the sum of its proper divisors (250560270).

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

131241330 is a wasteful number, since it uses less digits than its factorization.

131241330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44216 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131241330 is about 11456.0608413189. The cubic root of 131241330 is about 508.1869881211.

Adding to 131241330 its reverse (33142131), we get a palindrome (164383461).

The spelling of 131241330 in words is "one hundred thirty-one million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 44189 88378 132567 220945 265134 397701 441890 486079 662835 795402 972158 1193103 1325670 1458237 1988505 2386206 2430395 2916474 3977010 4374711 4860790 5965515 7291185 8749422 11931030 13124133 14582370 21873555 26248266 43747110 65620665 131241330