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212110102100 = 225213163161617
BaseRepresentation
bin1100010110001010111…
…1110100111001010100
3202021111022120121112102
43011202233310321110
511433400141231400
6241235251341232
721216200056061
oct3054257647124
9667438517472
10212110102100
1181a56694146
12351372b1818
1317004223670
14a3a259dc68
1557b66e29d5
hex3162bf4e54

212110102100 has 36 divisors (see below), whose sum is σ = 495684995484. Its totient is φ = 78317575680.

The previous prime is 212110102097. The next prime is 212110102181. The reversal of 212110102100 is 1201011212.

It can be written as a sum of positive squares in 6 ways, for example, as 2554898116 + 209555203984 = 50546^2 + 457772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81579509 + ... + 81582108.

Almost surely, 2212110102100 is an apocalyptic number.

212110102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110102100 is an abundant number, since it is smaller than the sum of its proper divisors (283574893384).

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

212110102100 is a wasteful number, since it uses less digits than its factorization.

212110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163161644 (or 163161637 counting only the distinct ones).

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

Adding to 212110102100 its reverse (1201011212), we get a palindrome (213311113312).

The spelling of 212110102100 in words is "two hundred twelve billion, one hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 163161617 326323234 652646468 815808085 1631616170 2121101021 3263232340 4079040425 4242202042 8158080850 8484404084 10605505105 16316161700 21211010210 42422020420 53027525525 106055051050 212110102100