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101222120200 = 23524112344161
BaseRepresentation
bin101111001000101001…
…1101111101100001000
3100200021100021110222211
41132101103233230020
53124300330321300
6114300101154504
710212243553105
oct1362123575410
9320240243884
10101222120200
1139a232800a3
121774b0bba34
139711a7a3a6
144c834abaac
1529766944ba
hex17914efb08

101222120200 has 48 divisors (see below), whose sum is σ = 241081483860. Its totient is φ = 39501312000.

The previous prime is 101222120189. The next prime is 101222120243. The reversal of 101222120200 is 2021222101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28109204964 + 73112915236 = 167658^2 + 270394^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6163881 + ... + 6180280.

Almost surely, 2101222120200 is an apocalyptic number.

101222120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222120200 is an abundant number, since it is smaller than the sum of its proper divisors (139859363660).

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

101222120200 is a wasteful number, since it uses less digits than its factorization.

101222120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344218 (or 12344209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101222120200 its reverse (2021222101), we get a palindrome (103243342301).

The spelling of 101222120200 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 12344161 24688322 49376644 61720805 98753288 123441610 246883220 308604025 493766440 506110601 617208050 1012221202 1234416100 2024442404 2468832200 2530553005 4048884808 5061106010 10122212020 12652765025 20244424040 25305530050 50611060100 101222120200