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132011221230300 = 223523163732227327
BaseRepresentation
bin11110000001000001000001…
…111100101010001011011100
3122022102011000222120200220010
4132001001001330222023130
5114300332440113332200
61144433041240523220
736543332061121626
oct3601010174521334
9568364028520803
10132011221230300
113907670a94a465
12129807aaa80510
1358877b28225a9
14248553d069c16
15103ddac765150
hex781041f2a2dc

132011221230300 has 144 divisors (see below), whose sum is σ = 394335557353472. Its totient is φ = 34062051052800.

The previous prime is 132011221230277. The next prime is 132011221230341. The reversal of 132011221230300 is 3032122110231.

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, 58155237 + ... + 60382563.

Almost surely, 2132011221230300 is an apocalyptic number.

132011221230300 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 132011221230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197167778676736).

132011221230300 is an abundant number, since it is smaller than the sum of its proper divisors (262324336123172).

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

132011221230300 is a wasteful number, since it uses less digits than its factorization.

132011221230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233748 (or 2233741 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132011221230300 its reverse (3032122110231), we get a palindrome (135043343340531).

The spelling of 132011221230300 in words is "one hundred thirty-two trillion, eleven billion, two hundred twenty-one million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 6373 9300 12746 19119 25492 31865 38238 63730 76476 95595 127460 159325 191190 197563 318650 382380 395126 477975 592689 637300 790252 955950 987815 1185378 1911900 1975630 2227327 2370756 2963445 3951260 4454654 4939075 5926890 6681981 8909308 9878150 11136635 11853780 13363962 14817225 19756300 22273270 26727924 29634450 33409905 44546540 55683175 59268900 66819810 69047137 111366350 133639620 138094274 167049525 207141411 222732700 276188548 334099050 345235685 414282822 668198100 690471370 828565644 1035707055 1380942740 1726178425 2071414110 3452356850 4142828220 5178535275 6904713700 10357070550 14194754971 20714141100 28389509942 42584264913 56779019884 70973774855 85168529826 141947549710 170337059652 212921324565 283895099420 354868874275 425842649130 440037404101 709737748550 851685298260 880074808202 1064606622825 1320112212303 1419475497100 1760149616404 2129213245650 2200187020505 2640224424606 4258426491300 4400374041010 5280448849212 6600561061515 8800748082020 11000935102525 13201122123030 22001870205050 26402244246060 33002805307575 44003740410100 66005610615150 132011221230300