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13212123300 = 22335226918191
BaseRepresentation
bin11000100111000000…
…10000000010100100
31021002202221101221000
430103200100002210
5204024300421200
610023005353300
7645260123625
oct142340200244
937082841830
1013212123300
11566a998872
122688868830
13132731214c
148d49c5a4c
15524da3300
hex3138100a4

13212123300 has 144 divisors (see below), whose sum is σ = 42634771200. Its totient is φ = 3509942400.

The previous prime is 13212123259. The next prime is 13212123307. The reversal of 13212123300 is 332121231.

13212123300 is a `hidden beast` number, since 1 + 321 + 2 + 12 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13212123307) 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, 717205 + ... + 735395.

It is an arithmetic number, because the mean of its divisors is an integer number (296074800).

Almost surely, 213212123300 is an apocalyptic number.

13212123300 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 13212123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317385600).

13212123300 is an abundant number, since it is smaller than the sum of its proper divisors (29422647900).

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

13212123300 is a wasteful number, since it uses less digits than its factorization.

13212123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18483 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13212123300 its reverse (332121231), we get a palindrome (13544244531).

The spelling of 13212123300 in words is "thirteen billion, two hundred twelve million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 269 270 300 450 538 540 675 807 900 1076 1345 1350 1614 2421 2690 2700 3228 4035 4842 5380 6725 7263 8070 9684 12105 13450 14526 16140 18191 20175 24210 26900 29052 36315 36382 40350 48420 54573 60525 72630 72764 80700 90955 109146 121050 145260 163719 181575 181910 218292 242100 272865 327438 363150 363820 454775 491157 545730 654876 726300 818595 909550 982314 1091460 1364325 1637190 1819100 1964628 2455785 2728650 3274380 4092975 4893379 4911570 5457300 8185950 9786758 9823140 12278925 14680137 16371900 19573516 24466895 24557850 29360274 44040411 48933790 49115700 58720548 73400685 88080822 97867580 122334475 132121233 146801370 176161644 220202055 244668950 264242466 293602740 367003425 440404110 489337900 528484932 660606165 734006850 880808220 1101010275 1321212330 1468013700 2202020550 2642424660 3303030825 4404041100 6606061650 13212123300