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132000003300 = 223521153754717
BaseRepresentation
bin111101011101111010…
…0000011010011100100
3110121201022021221101010
41322323310003103210
54130314000101200
6140350122102220
712352040341524
oct1727364032344
9417638257333
10132000003300
1150a87619220
12216ba64a970
13c5a8350539
146562d65684
153678727150
hex1ebbd034e4

132000003300 has 144 divisors (see below), whose sum is σ = 424501705152. Its totient is φ = 31396185600.

The previous prime is 132000003299. The next prime is 132000003307. The reversal of 132000003300 is 3300000231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (132000003307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202459 + ... + 552258.

It is an arithmetic number, because the mean of its divisors is an integer number (2947928508).

Almost surely, 2132000003300 is an apocalyptic number.

132000003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000003300 is an abundant number, since it is smaller than the sum of its proper divisors (292501701852).

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

132000003300 is a wasteful number, since it uses less digits than its factorization.

132000003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754798 (or 754791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 132000003300 its reverse (3300000231), we get a palindrome (135300003531).

The spelling of 132000003300 in words is "one hundred thirty-two billion, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7950 8745 11660 14575 15900 17490 29150 34980 43725 58300 87450 174900 754717 1509434 2264151 3018868 3773585 4528302 7547170 8301887 9056604 11320755 15094340 16603774 18867925 22641510 24905661 33207548 37735850 40000001 41509435 45283020 49811322 56603775 75471700 80000002 83018870 99622644 113207550 120000003 124528305 160000004 166037740 200000005 207547175 226415100 240000006 249056610 400000010 415094350 440000011 480000012 498113220 600000015 622641525 800000020 830188700 880000022 1000000025 1200000030 1245283050 1320000033 1760000044 2000000050 2200000055 2400000060 2490566100 2640000066 3000000075 4000000100 4400000110 5280000132 6000000150 6600000165 8800000220 11000000275 12000000300 13200000330 22000000550 26400000660 33000000825 44000001100 66000001650 132000003300