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12020210100 = 22325213355789
BaseRepresentation
bin10110011000111010…
…11101100110110100
31011000201010221101200
423030131131212310
5144104133210400
65304430452500
7603605046213
oct131435354664
934021127350
1012020210100
115109105838
1223b5664130
1311973bc772
1482059d07a
154a5413b00
hex2cc75d9b4

12020210100 has 54 divisors (see below), whose sum is σ = 37676683590. Its totient is φ = 3205389120.

The previous prime is 12020210057. The next prime is 12020210119. The reversal of 12020210100 is 101202021.

It can be written as a sum of positive squares in 3 ways, for example, as 170145936 + 11850064164 = 13044^2 + 108858^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 6676995 + ... + 6678794.

Almost surely, 212020210100 is an apocalyptic number.

12020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020210100 is an abundant number, since it is smaller than the sum of its proper divisors (25656473490).

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

12020210100 is a wasteful number, since it uses less digits than its factorization.

12020210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355809 (or 13355799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020210100 its reverse (101202021), we get a palindrome (12121412121).

The spelling of 12020210100 in words is "twelve billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13355789 26711578 40067367 53423156 66778945 80134734 120202101 133557890 160269468 200336835 240404202 267115780 333894725 400673670 480808404 601010505 667789450 801347340 1001684175 1202021010 1335578900 2003368350 2404042020 3005052525 4006736700 6010105050 12020210100