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101200212 = 22334719937
BaseRepresentation
bin1100000100000…
…11000101010100
321001102111121000
412002003011110
5201401401322
614013023300
72336121231
oct602030524
9231374530
10101200212
1152141243
1229a84b30
1317c73ba9
14d624788
158d403ac
hex6083154

101200212 has 48 divisors (see below), whose sum is σ = 267966720. Its totient is φ = 33014016.

The previous prime is 101200193. The next prime is 101200219. The reversal of 101200212 is 212002101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101200194 and 101200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4893 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (5582640).

Almost surely, 2101200212 is an apocalyptic number.

101200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200212 is an abundant number, since it is smaller than the sum of its proper divisors (166766508).

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

101200212 is a wasteful number, since it uses less digits than its factorization.

101200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19997 (or 19989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101200212 is about 10059.8316089287. The cubic root of 101200212 is about 466.0084668775.

Adding to 101200212 its reverse (212002101), we get a palindrome (313202313).

The spelling of 101200212 in words is "one hundred one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 19937 39874 59811 79748 119622 179433 239244 358866 538299 717732 937039 1076598 1874078 2153196 2811117 3748156 5622234 8433351 11244468 16866702 25300053 33733404 50600106 101200212