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10100200212 = 2232280561117
BaseRepresentation
bin10010110100000010…
…01101001100010100
3222001220022022222100
421122001031030110
5131141122401322
64350122202100
7505202166564
oct113201151424
928056268870
1010100200212
114313332a03
121b5a653330
13c4c6a113b
146bb5a6da4
153e1aa1dac
hex25a04d314

10100200212 has 18 divisors (see below), whose sum is σ = 25531061738. Its totient is φ = 3366733392.

The previous prime is 10100200133. The next prime is 10100200217. The reversal of 10100200212 is 21200200101.

It can be written as a sum of positive squares in only one way, i.e., 10080963216 + 19236996 = 100404^2 + 4386^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 10100200194 and 10100200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100200217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140280523 + ... + 140280594.

Almost surely, 210100200212 is an apocalyptic number.

10100200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100200212 is an abundant number, since it is smaller than the sum of its proper divisors (15430861526).

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

10100200212 is a wasteful number, since it uses less digits than its factorization.

10100200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280561127 (or 280561122 counting only the distinct ones).

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

Adding to 10100200212 its reverse (21200200101), we get a palindrome (31300400313).

The spelling of 10100200212 in words is "ten billion, one hundred million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 280561117 561122234 841683351 1122244468 1683366702 2525050053 3366733404 5050100106 10100200212