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12100202133300 = 22325241327918757
BaseRepresentation
bin1011000000010100110000…
…1111111111011100110100
31120211202201220001212210200
42300011030033333130310
53041222203221231200
641422431153320500
72356132201051641
oct260051417773464
946752656055720
1012100202133300
11394573771a716
121435125266130
1369a076052618
142db91d818dc8
1515eb49c86800
hexb014c3ff734

12100202133300 has 108 divisors (see below), whose sum is σ = 38852470285356. Its totient is φ = 3148020057600.

The previous prime is 12100202133277. The next prime is 12100202133307. The reversal of 12100202133300 is 333120200121.

12100202133300 is a `hidden beast` number, since 1 + 2 + 100 + 20 + 213 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5020494497316 + 7079707635984 = 2240646^2 + 2660772^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100202133307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163922479 + ... + 163996278.

Almost surely, 212100202133300 is an apocalyptic number.

12100202133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100202133300 is an abundant number, since it is smaller than the sum of its proper divisors (26752268152056).

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

12100202133300 is a wasteful number, since it uses less digits than its factorization.

12100202133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327918818 (or 327918808 counting only the distinct ones).

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

Adding to 12100202133300 its reverse (333120200121), we get a palindrome (12433322333421).

The spelling of 12100202133300 in words is "twelve trillion, one hundred billion, two hundred two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 327918757 655837514 983756271 1311675028 1639593785 1967512542 2951268813 3279187570 3935025084 4918781355 5902537626 6558375140 8197968925 9837562710 11805075252 13444669037 14756344065 16395937850 19675125420 24593906775 26889338074 29512688130 32791875700 40334007111 49187813550 53778676148 59025376260 67223345185 73781720325 80668014222 98375627100 121002021333 134446690370 147563440650 161336028444 201670035555 242004042666 268893380740 295126881300 336116725925 403340071110 484008085332 605010106665 672233451850 806680142220 1008350177775 1210020213330 1344466903700 2016700355550 2420040426660 3025050533325 4033400711100 6050101066650 12100202133300