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11212545200 = 2452173311521
BaseRepresentation
bin10100111000101000…
…11101110010110000
31001221102101022102212
422130110131302300
5140430402421300
65052335431252
7544600030103
oct123424356260
931842338385
1011212545200
11483420a18a
12220b085528
131098c84b3c
147851da73a
15459575935
hex29c51dcb0

11212545200 has 120 divisors (see below), whose sum is σ = 27233140896. Its totient is φ = 4436224000.

The previous prime is 11212545161. The next prime is 11212545203. The reversal of 11212545200 is 254521211.

It is not an unprimeable number, because it can be changed into a prime (11212545203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21520940 + ... + 21521460.

Almost surely, 211212545200 is an apocalyptic number.

11212545200 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 11212545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616570448).

11212545200 is an abundant number, since it is smaller than the sum of its proper divisors (16020595696).

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

11212545200 is a wasteful number, since it uses less digits than its factorization.

11212545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 11212545200 in words is "eleven billion, two hundred twelve million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 311 346 400 521 622 692 865 1042 1244 1384 1555 1730 2084 2488 2605 2768 3110 3460 4168 4325 4976 5210 6220 6920 7775 8336 8650 10420 12440 13025 13840 15550 17300 20840 24880 26050 31100 34600 41680 52100 53803 62200 69200 90133 104200 107606 124400 162031 180266 208400 215212 269015 324062 360532 430424 450665 538030 648124 721064 810155 860848 901330 1076060 1296248 1345075 1442128 1620310 1802660 2152120 2253325 2592496 2690150 3240620 3605320 4050775 4304240 4506650 5380300 6481240 7210640 8101550 9013300 10760600 12962480 16203100 18026600 21521200 28031363 32406200 36053200 56062726 64812400 112125452 140156815 224250904 280313630 448501808 560627260 700784075 1121254520 1401568150 2242509040 2803136300 5606272600 11212545200