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131421150 = 23352713907
BaseRepresentation
bin1111101010101…
…01001111011110
3100011021212221000
413311111033132
5232120434100
621012451130
73154030020
oct765251736
9304255830
10131421150
1168202723
1238019aa6
13212c55c3
1413650010
15b80e900
hex7d553de

131421150 has 96 divisors (see below), whose sum is σ = 413902080. Its totient is φ = 30036960.

The previous prime is 131421109. The next prime is 131421197. The reversal of 131421150 is 51124131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497 + ... + 16403.

It is an arithmetic number, because the mean of its divisors is an integer number (4311480).

Almost surely, 2131421150 is an apocalyptic number.

131421150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131421150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206951040).

131421150 is an abundant number, since it is smaller than the sum of its proper divisors (282480930).

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

131421150 is a wasteful number, since it uses less digits than its factorization.

131421150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131421150 is about 11463.9064022697. The cubic root of 131421150 is about 508.4189792687.

Adding to 131421150 its reverse (51124131), we get a palindrome (182545281).

The spelling of 131421150 in words is "one hundred thirty-one million, four hundred twenty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 13907 27814 41721 69535 83442 97349 125163 139070 194698 208605 250326 292047 347675 375489 417210 486745 584094 625815 695350 750978 876141 973490 1043025 1251630 1460235 1752282 1877445 2086050 2433725 2628423 2920470 3129075 3754890 4380705 4867450 5256846 6258150 7301175 8761410 9387225 13142115 14602350 18774450 21903525 26284230 43807050 65710575 131421150