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10212000100 = 2252102120001
BaseRepresentation
bin10011000001010111…
…01100000101100100
3222100200200100120221
421200223230011210
5131403233000400
64405154334124
7511030366021
oct114053540544
928320610527
1010212000100
114370453905
121b8bb8a344
13c698b6813
146cc38a548
153eb7d7c1a
hex260aec164

10212000100 has 18 divisors (see below), whose sum is σ = 22160040434. Its totient is φ = 4084800000.

The previous prime is 10212000089. The next prime is 10212000103. The reversal of 10212000100 is 100021201.

It can be written as a sum of positive squares in 3 ways, for example, as 2081731876 + 8130268224 = 45626^2 + 90168^2 .

It is not an unprimeable number, because it can be changed into a prime (10212000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51059901 + ... + 51060100.

Almost surely, 210212000100 is an apocalyptic number.

10212000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212000100 is an abundant number, since it is smaller than the sum of its proper divisors (11948040334).

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

10212000100 is a wasteful number, since it uses less digits than its factorization.

10212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102120015 (or 102120008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10212000100 its reverse (100021201), we get a palindrome (10312021301).

The spelling of 10212000100 in words is "ten billion, two hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 102120001 204240002 408480004 510600005 1021200010 2042400020 2553000025 5106000050 10212000100