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130144110 = 23519261197
BaseRepresentation
bin1111100000111…
…01011101101110
3100001220000011020
413300131131232
5231304102420
620525235010
73140130615
oct760353556
9301800136
10130144110
1167510218
1237702a66
1320c69265
14133da87c
15b65b340
hex7c1d76e

130144110 has 96 divisors (see below), whose sum is σ = 336755232. Its totient is φ = 32175360.

The previous prime is 130144103. The next prime is 130144111. The reversal of 130144110 is 11441031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130144110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144111) 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 47 ways as a sum of consecutive naturals, for example, 660532 + ... + 660728.

It is an arithmetic number, because the mean of its divisors is an integer number (3507867).

Almost surely, 2130144110 is an apocalyptic number.

130144110 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 130144110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168377616).

130144110 is an abundant number, since it is smaller than the sum of its proper divisors (206611122).

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

130144110 is a wasteful number, since it uses less digits than its factorization.

130144110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 130144110 is about 11408.0721421281. The cubic root of 130144110 is about 506.7668204789.

Adding to 130144110 its reverse (11441031), we get a palindrome (141585141).

The spelling of 130144110 in words is "one hundred thirty million, one hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 197 285 305 361 366 394 570 591 610 722 915 985 1083 1159 1182 1805 1830 1970 2166 2318 2955 3477 3610 3743 5415 5795 5910 6954 7486 10830 11229 11590 12017 17385 18715 22021 22458 24034 34770 36051 37430 44042 56145 60085 66063 71117 72102 110105 112290 120170 132126 142234 180255 213351 220210 228323 330315 355585 360510 426702 456646 660630 684969 711170 1066755 1141615 1369938 2133510 2283230 3424845 4338137 6849690 8676274 13014411 21690685 26028822 43381370 65072055 130144110