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132012000300 = 223523765918047
BaseRepresentation
bin111101011110010000…
…1110100010000101100
3110121202010212110011110
41322330201310100230
54130330033002200
6140351231152020
712352244326305
oct1727441642054
9417663773143
10132012000300
1150a933727a4
1221702675610
13c5aa99105b
1465647a97ac
1536797e6b50
hex1ebc87442c

132012000300 has 144 divisors (see below), whose sum is σ = 392894853120. Its totient is φ = 34197891840.

The previous prime is 132012000299. The next prime is 132012000349. The reversal of 132012000300 is 3000210231.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7305877 + ... + 7323923.

It is an arithmetic number, because the mean of its divisors is an integer number (2728436480).

Almost surely, 2132012000300 is an apocalyptic number.

132012000300 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 132012000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196447426560).

132012000300 is an abundant number, since it is smaller than the sum of its proper divisors (260882852820).

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

132012000300 is a wasteful number, since it uses less digits than its factorization.

132012000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18760 (or 18753 counting only the distinct ones).

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

Adding to 132012000300 its reverse (3000210231), we get a palindrome (135012210531).

The spelling of 132012000300 in words is "one hundred thirty-two billion, twelve million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 659 740 925 1110 1318 1850 1977 2220 2636 2775 3295 3700 3954 5550 6590 7908 9885 11100 13180 16475 18047 19770 24383 32950 36094 39540 48766 49425 54141 65900 72188 73149 90235 97532 98850 108282 121915 146298 180470 197700 216564 243830 270705 292596 360940 365745 451175 487660 541410 609575 667739 731490 902350 1082820 1219150 1335478 1353525 1462980 1804700 1828725 2003217 2438300 2670956 2707050 3338695 3657450 4006434 5414100 6677390 7314900 8012868 10016085 11892973 13354780 16693475 20032170 23785946 33386950 35678919 40064340 47571892 50080425 59464865 66773900 71357838 100160850 118929730 142715676 178394595 200321700 237859460 297324325 356789190 440040001 594648650 713578380 880080002 891972975 1189297300 1320120003 1760160004 1783945950 2200200005 2640240006 3567891900 4400400010 5280480012 6600600015 8800800020 11001000025 13201200030 22002000050 26402400060 33003000075 44004000100 66006000150 132012000300