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132012333300 = 223523786313781
BaseRepresentation
bin111101011110010001…
…1000101100011110100
3110121202011111100221210
41322330203011203310
54130330124131200
6140351242241420
712352250214201
oct1727443054364
9417664440853
10132012333300
1150a9357aa01
12217027b6270
13c5aaa797b3
146564854ca8
153679860650
hex1ebc8c58f4

132012333300 has 144 divisors (see below), whose sum is σ = 392761861632. Its totient is φ = 34209676800.

The previous prime is 132012333289. The next prime is 132012333329. The reversal of 132012333300 is 3333210231.

It is a super-2 number, since 2×1320123333002 (a number of 23 digits) contains 22 as substring.

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, 9572410 + ... + 9586190.

It is an arithmetic number, because the mean of its divisors is an integer number (2727512928).

Almost surely, 2132012333300 is an apocalyptic number.

132012333300 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 132012333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196380930816).

132012333300 is an abundant number, since it is smaller than the sum of its proper divisors (260749528332).

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

132012333300 is a wasteful number, since it uses less digits than its factorization.

132012333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132012333300 its reverse (3333210231), we get a palindrome (135345543531).

The spelling of 132012333300 in words is "one hundred thirty-two billion, twelve million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 863 925 1110 1726 1850 2220 2589 2775 3452 3700 4315 5178 5550 8630 10356 11100 12945 13781 17260 21575 25890 27562 31931 41343 43150 51780 55124 63862 64725 68905 82686 86300 95793 127724 129450 137810 159655 165372 191586 206715 258900 275620 319310 344525 383172 413430 478965 509897 638620 689050 798275 826860 957930 1019794 1033575 1378100 1529691 1596550 1915860 2039588 2067150 2394825 2549485 3059382 3193100 4134300 4789650 5098970 6118764 7648455 9579300 10197940 11893003 12747425 15296910 23786006 25494850 30593820 35679009 38242275 47572012 50989700 59465015 71358018 76484550 118930030 142716036 152969100 178395045 237860060 297325075 356790090 440041111 594650150 713580180 880082222 891975225 1189300300 1320123333 1760164444 1783950450 2200205555 2640246666 3567900900 4400411110 5280493332 6600616665 8800822220 11001027775 13201233330 22002055550 26402466660 33003083325 44004111100 66006166650 132012333300