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12212130100 = 2252122121301
BaseRepresentation
bin10110101111110011…
…00101000100110100
31011112002021111010211
423113321211010310
5200002301130400
65335444155204
7611425251562
oct132771450464
934462244124
1012212130100
1151a747a105
122449998b04
1311c80a80b1
1483bc7aa32
154b71c3dba
hex2d7e65134

12212130100 has 18 divisors (see below), whose sum is σ = 26500322534. Its totient is φ = 4884852000.

The previous prime is 12212130083. The next prime is 12212130103. The reversal of 12212130100 is 103121221.

It can be written as a sum of positive squares in 3 ways, for example, as 345513744 + 11866616356 = 18588^2 + 108934^2 .

It is a super-2 number, since 2×122121301002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212130103) 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, 61060551 + ... + 61060750.

Almost surely, 212212130100 is an apocalyptic number.

12212130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212130100 is an abundant number, since it is smaller than the sum of its proper divisors (14288192434).

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

12212130100 is a wasteful number, since it uses less digits than its factorization.

12212130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122121315 (or 122121308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12212130100 its reverse (103121221), we get a palindrome (12315251321).

The spelling of 12212130100 in words is "twelve billion, two hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122121301 244242602 488485204 610606505 1221213010 2442426020 3053032525 6106065050 12212130100