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2100002212 = 2272112342349
BaseRepresentation
bin111110100101011…
…0111110110100100
312102100112011110201
41331022313312210
513300100032322
6544214200244
7103016503300
oct17512676644
95370464421
102100002212
1198843a820
124a7353084
132760bbb79
1415cc8ad00
15c4567d27
hex7d2b7da4

2100002212 has 72 divisors (see below), whose sum is σ = 4866523200. Its totient is φ = 782591040.

The previous prime is 2100002153. The next prime is 2100002243. The reversal of 2100002212 is 2122000012.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28414 + ... + 70762.

It is an arithmetic number, because the mean of its divisors is an integer number (67590600).

Almost surely, 22100002212 is an apocalyptic number.

2100002212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433261600).

2100002212 is an abundant number, since it is smaller than the sum of its proper divisors (2766520988).

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

2100002212 is a wasteful number, since it uses less digits than its factorization.

2100002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42401 (or 42392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2100002212 is about 45825.7810844507. The cubic root of 2100002212 is about 1280.5796146129.

Adding to 2100002212 its reverse (2122000012), we get a palindrome (4222002224).

It can be divided in two parts, 210000 and 2212, that added together give a palindrome (212212).

The spelling of 2100002212 in words is "two billion, one hundred million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 506 539 644 1012 1078 1127 1771 2156 2254 3542 4508 7084 12397 24794 42349 49588 84698 169396 296443 465839 592886 931678 974027 1185772 1863356 1948054 2075101 3260873 3896108 4150202 6521746 6818189 8300404 10714297 13043492 13636378 21428594 22826111 27272756 42857188 45652222 47727323 75000079 91304444 95454646 150000158 190909292 300000316 525000553 1050001106 2100002212