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100122002212 = 222331049102409
BaseRepresentation
bin101110100111110111…
…1001000001100100100
3100120102200012200211011
41131033233020030210
53120022213032322
6113555001552004
710143054656041
oct1351757101444
9316380180734
10100122002212
1139509295181
12174a27a5604
139597b87abb
144bbb33c1c8
15290ecd8677
hex174fbc8324

100122002212 has 24 divisors (see below), whose sum is σ = 176134959000. Its totient is φ = 49798142976.

The previous prime is 100122002209. The next prime is 100122002219. The reversal of 100122002212 is 212200221001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56984373796 + 43137628416 = 238714^2 + 207696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100122002192 and 100122002201.

It is not an unprimeable number, because it can be changed into a prime (100122002219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 926464 + ... + 1028872.

It is an arithmetic number, because the mean of its divisors is an integer number (7338956625).

Almost surely, 2100122002212 is an apocalyptic number.

It is an amenable number.

100122002212 is a deficient number, since it is larger than the sum of its proper divisors (76012956788).

100122002212 is a wasteful number, since it uses less digits than its factorization.

100122002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103695 (or 103693 counting only the distinct ones).

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

Adding to 100122002212 its reverse (212200221001), we get a palindrome (312322223213).

The spelling of 100122002212 in words is "one hundred billion, one hundred twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 4 233 466 932 1049 2098 4196 102409 204818 244417 409636 488834 977668 23861297 47722594 95445188 107427041 214854082 429708164 25030500553 50061001106 100122002212