Search a number
-
+
130231200 = 25352114933
BaseRepresentation
bin1111100001100…
…10101110100000
3100002001102121210
413300302232200
5231314344300
620531150120
73140642541
oct760625640
9302042553
10130231200
116756a6a0
1237745340
1320c99aa8
14134204c8
15b677050
hex7c32ba0

130231200 has 144 divisors (see below), whose sum is σ = 462532896. Its totient is φ = 31564800.

The previous prime is 130231181. The next prime is 130231259. The reversal of 130231200 is 2132031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23934 + ... + 28866.

It is an arithmetic number, because the mean of its divisors is an integer number (3212034).

Almost surely, 2130231200 is an apocalyptic number.

130231200 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 130231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231266448).

130231200 is an abundant number, since it is smaller than the sum of its proper divisors (332301696).

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

130231200 is a wasteful number, since it uses less digits than its factorization.

130231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130231200 is about 11411.8885378363. Note that the first 3 decimals coincide. The cubic root of 130231200 is about 506.8798348940.

Adding to 130231200 its reverse (2132031), we get a palindrome (132363231).

The spelling of 130231200 in words is "one hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 4933 5280 6600 8800 9866 13200 14799 19732 24665 26400 29598 39464 49330 54263 59196 73995 78928 98660 108526 118392 123325 147990 157856 162789 197320 217052 236784 246650 271315 295980 325578 369975 394640 434104 473568 493300 542630 591960 651156 739950 789280 813945 868208 986600 1085260 1183920 1302312 1356575 1479900 1627890 1736416 1973200 2170520 2367840 2604624 2713150 2959800 3255780 3946400 4069725 4341040 5209248 5426300 5919600 6511560 8139450 8682080 10852600 11839200 13023120 16278900 21705200 26046240 32557800 43410400 65115600 130231200