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12212010100 = 2252122120101
BaseRepresentation
bin10110101111110010…
…00111110001110100
31011112002001101112101
423113321013301310
5200002233310400
65335441431444
7611424241663
oct132771076164
934462041471
1012212010100
1151a73a7a34
12244993b584
1311c80655a4
1483bc48dda
154b719d56a
hex2d7e47c74

12212010100 has 18 divisors (see below), whose sum is σ = 26500062134. Its totient is φ = 4884804000.

The previous prime is 12212010073. The next prime is 12212010121. The reversal of 12212010100 is 101021221.

It can be written as a sum of positive squares in 3 ways, for example, as 970073316 + 11241936784 = 31146^2 + 106028^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61059951 + ... + 61060150.

Almost surely, 212212010100 is an apocalyptic number.

12212010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212010100 is an abundant number, since it is smaller than the sum of its proper divisors (14288052034).

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

12212010100 is a wasteful number, since it uses less digits than its factorization.

12212010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122120115 (or 122120108 counting only the distinct ones).

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

Adding to 12212010100 its reverse (101021221), we get a palindrome (12313031321).

The spelling of 12212010100 in words is "twelve billion, two hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122120101 244240202 488480404 610600505 1221201010 2442402020 3053002525 6106005050 12212010100