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141130220 = 225711113811
BaseRepresentation
bin10000110100101…
…11100111101100
3100211120011021012
420122113213230
5242112131340
622000524352
73332405240
oct1032274754
9324504235
10141130220
1172734250
123b3206b8
132331490a
1414a5a420
15c5cb565
hex86979ec

141130220 has 96 divisors (see below), whose sum is σ = 373234176. Its totient is φ = 43545600.

The previous prime is 141130219. The next prime is 141130273. The reversal of 141130220 is 22031141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 141130195 and 141130204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173615 + ... + 174425.

It is an arithmetic number, because the mean of its divisors is an integer number (3887856).

Almost surely, 2141130220 is an apocalyptic number.

141130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617088).

141130220 is an abundant number, since it is smaller than the sum of its proper divisors (232103956).

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

141130220 is a wasteful number, since it uses less digits than its factorization.

141130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 141130220 is about 11879.8240727714. The cubic root of 141130220 is about 520.6429669872.

Adding to 141130220 its reverse (22031141), we get a palindrome (163161361).

The spelling of 141130220 in words is "one hundred forty-one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 220 226 308 385 452 565 770 791 811 1130 1243 1540 1582 1622 2260 2486 3164 3244 3955 4055 4972 5677 6215 7910 8110 8701 8921 11354 12430 15820 16220 17402 17842 22708 24860 28385 34804 35684 43505 44605 56770 62447 87010 89210 91643 113540 124894 174020 178420 183286 249788 312235 366572 458215 624470 641501 916430 1008073 1248940 1283002 1832860 2016146 2566004 3207505 4032292 5040365 6415010 7056511 10080730 12830020 14113022 20161460 28226044 35282555 70565110 141130220