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100301122212 = 22353612585347
BaseRepresentation
bin101110101101001101…
…0011010101010100100
3100120220011020221021020
41131122122122222210
53120404041402322
6114024441051140
710150361320554
oct1353232325244
9316804227236
10100301122212
11395a0406735
1217532786ab0
1395c6011275
144bd7047164
1529208bb05c
hex175a69aaa4

100301122212 has 48 divisors (see below), whose sum is σ = 242360862912. Its totient is φ = 32265118080.

The previous prime is 100301122199. The next prime is 100301122213. The reversal of 100301122212 is 212221103001.

It is a junction number, because it is equal to n+sod(n) for n = 100301122191 and 100301122200.

It is not an unprimeable number, because it can be changed into a prime (100301122213) 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 15 ways as a sum of consecutive naturals, for example, 1253878 + ... + 1331469.

It is an arithmetic number, because the mean of its divisors is an integer number (5049184644).

Almost surely, 2100301122212 is an apocalyptic number.

100301122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100301122212 is an abundant number, since it is smaller than the sum of its proper divisors (142059740700).

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

100301122212 is a wasteful number, since it uses less digits than its factorization.

100301122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585468 (or 2585466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100301122212 its reverse (212221103001), we get a palindrome (312522225213).

The spelling of 100301122212 in words is "one hundred billion, three hundred one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 53 61 106 122 159 183 212 244 318 366 636 732 3233 6466 9699 12932 19398 38796 2585347 5170694 7756041 10341388 15512082 31024164 137023391 157706167 274046782 315412334 411070173 473118501 548093564 630824668 822140346 946237002 1644280692 1892474004 8358426851 16716853702 25075280553 33433707404 50150561106 100301122212