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12121002100 = 2252121210021
BaseRepresentation
bin10110100100111011…
…11101000001110100
31011021201210201000201
423102131331001310
5144310434031400
65322431050244
7606240550354
oct132235750164
934251721021
1012121002100
11515aa98309
122423370984
1311b224c8bc
1482db18b64
154ae1c306a
hex2d277d074

12121002100 has 18 divisors (see below), whose sum is σ = 26302574774. Its totient is φ = 4848400800.

The previous prime is 12121002097. The next prime is 12121002107. The reversal of 12121002100 is 120012121.

It can be written as a sum of positive squares in 3 ways, for example, as 132066064 + 11988936036 = 11492^2 + 109494^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121002107) 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, 60604911 + ... + 60605110.

Almost surely, 212121002100 is an apocalyptic number.

12121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121002100 is an abundant number, since it is smaller than the sum of its proper divisors (14181572674).

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

12121002100 is a wasteful number, since it uses less digits than its factorization.

12121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121210035 (or 121210028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12121002100 its reverse (120012121), we get a palindrome (12241014221).

The spelling of 12121002100 in words is "twelve billion, one hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121210021 242420042 484840084 606050105 1212100210 2424200420 3030250525 6060501050 12121002100