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12100212100 = 2252121002121
BaseRepresentation
bin10110100010011101…
…01001010110000100
31011020021200110111201
423101032221112010
5144240123241400
65320405312244
7605566051204
oct132116512604
934207613451
1012100212100
11514a288499
122418405684
1311aab50a22
1482b066404
154ac46806a
hex2d13a9584

12100212100 has 18 divisors (see below), whose sum is σ = 26257460474. Its totient is φ = 4840084800.

The previous prime is 12100212079. The next prime is 12100212101. The reversal of 12100212100 is 121200121.

It can be written as a sum of positive squares in 3 ways, for example, as 2640315456 + 9459896644 = 51384^2 + 97262^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12100212101) 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, 60500961 + ... + 60501160.

Almost surely, 212100212100 is an apocalyptic number.

12100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100212100 is an abundant number, since it is smaller than the sum of its proper divisors (14157248374).

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

12100212100 is a wasteful number, since it uses less digits than its factorization.

12100212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121002135 (or 121002128 counting only the distinct ones).

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

Adding to 12100212100 its reverse (121200121), we get a palindrome (12221412221).

It can be divided in two parts, 1210021 and 2100, that added together give a palindrome (1212121).

The spelling of 12100212100 in words is "twelve billion, one hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121002121 242004242 484008484 605010605 1210021210 2420042420 3025053025 6050106050 12100212100