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101200101224 = 23678315714489
BaseRepresentation
bin101111000111111111…
…1101111111101101000
3100200012210211210122012
41132033333233331220
53124224211214344
6114253553215052
710211555444615
oct1361777577550
9320183753565
10101200101224
1139a119009a2
1217743861488
13970a33b001
144c805b950c
15297479529e
hex178ffeff68

101200101224 has 64 divisors (see below), whose sum is σ = 196157505600. Its totient is φ = 48927250944.

The previous prime is 101200101209. The next prime is 101200101251. The reversal of 101200101224 is 422101002101.

It is a happy number.

101200101224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101200101199 and 101200101208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6977372 + ... + 6991860.

It is an arithmetic number, because the mean of its divisors is an integer number (3064961025).

Almost surely, 2101200101224 is an apocalyptic number.

It is an amenable number.

101200101224 is a deficient number, since it is larger than the sum of its proper divisors (94957404376).

101200101224 is a wasteful number, since it uses less digits than its factorization.

101200101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14802 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101200101224 its reverse (422101002101), we get a palindrome (523301103325).

The spelling of 101200101224 in words is "one hundred one billion, two hundred million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 67 83 134 157 166 268 314 332 536 628 664 1256 5561 10519 11122 13031 14489 21038 22244 26062 28978 42076 44488 52124 57956 84152 104248 115912 873077 970763 1202587 1746154 1941526 2274773 2405174 3492308 3883052 4549546 4810348 6984616 7766104 9099092 9620696 18198184 80573329 152409791 161146658 188806159 304819582 322293316 377612318 609639164 644586632 755224636 1219278328 1510449272 12650012653 25300025306 50600050612 101200101224