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100012112012 = 22277619914561
BaseRepresentation
bin101110100100100101…
…1111011100010001100
3100120011000102200210202
41131021023323202030
53114311100041022
6113540034353032
710140251632331
oct1351113734214
9316130380722
10100012112012
113946225902a
1217471a2b778
13957b190707
144baa8d4988
15290532d592
hex17492fb88c

100012112012 has 24 divisors (see below), whose sum is σ = 175693442400. Its totient is φ = 49814069760.

The previous prime is 100012112009. The next prime is 100012112017. The reversal of 100012112012 is 210211210001.

It is a junction number, because it is equal to n+sod(n) for n = 100012111984 and 100012112002.

It is not an unprimeable number, because it can be changed into a prime (100012112017) 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, 6861212 + ... + 6875772.

It is an arithmetic number, because the mean of its divisors is an integer number (7320560100).

Almost surely, 2100012112012 is an apocalyptic number.

It is an amenable number.

100012112012 is a deficient number, since it is larger than the sum of its proper divisors (75681330388).

100012112012 is a wasteful number, since it uses less digits than its factorization.

100012112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21041 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100012112012 its reverse (210211210001), we get a palindrome (310223322013).

The spelling of 100012112012 in words is "one hundred billion, twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 277 554 1108 6199 12398 14561 24796 29122 58244 1717123 3434246 4033397 6868492 8066794 16133588 90263639 180527278 361054556 25003028003 50006056006 100012112012