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101210211200 = 275274518313
BaseRepresentation
bin101111001000010011…
…0010100001110000000
3100200020111212102220202
41132100212110032000
53124234303224300
6114254554024332
710212040413020
oct1362046241600
9320214772822
10101210211200
1139a1758674a
12177471180a8
13970c46a947
144c81a8ba80
1529755e0ad5
hex1790994380

101210211200 has 96 divisors (see below), whose sum is σ = 285738177360. Its totient is φ = 34700636160.

The previous prime is 101210211197. The next prime is 101210211209. The reversal of 101210211200 is 2112012101.

It is a super-2 number, since 2×1012102112002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210211209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2236757 + ... + 2281556.

Almost surely, 2101210211200 is an apocalyptic number.

101210211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210211200 is an abundant number, since it is smaller than the sum of its proper divisors (184527966160).

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

101210211200 is an equidigital number, since it uses as much as digits as its factorization.

101210211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518344 (or 4518327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210211200 its reverse (2112012101), we get a palindrome (103322223301).

The spelling of 101210211200 in words is "one hundred one billion, two hundred ten million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 4518313 9036626 18073252 22591565 31628191 36146504 45183130 63256382 72293008 90366260 112957825 126512764 144586016 158140955 180732520 225915650 253025528 289172032 316281910 361465040 451831300 506051056 578344064 632563820 722930080 790704775 903662600 1012102112 1265127640 1445860160 1581409550 1807325200 2024204224 2530255280 2891720320 3162819100 3614650400 4048408448 5060510560 6325638200 7229300800 10121021120 12651276400 14458601600 20242042240 25302552800 50605105600 101210211200