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210002212212100 = 2252721167293198469
BaseRepresentation
bin101111101111111011110011…
…010000101100110110000100
31000112120000102020112022220021
4233233323303100230312010
5210011134012311241400
62022345403501544524
762143105405323100
oct5757736320546604
91015500366468807
10210002212212100
1160a05490058030
121b677a03b75144
13902417b833439
1439c023888c900
15194298d31271a
hexbefef342cd84

210002212212100 has 432 divisors, whose sum is σ = 588934435158720. Its totient is φ = 64257904972800.

The previous prime is 210002212212083. The next prime is 210002212212101. The reversal of 210002212212100 is 1212212200012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (210002212212101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1058011666 + ... + 1058210134.

It is an arithmetic number, because the mean of its divisors is an integer number (1363274155460).

Almost surely, 2210002212212100 is an apocalyptic number.

210002212212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210002212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294467217579360).

210002212212100 is an abundant number, since it is smaller than the sum of its proper divisors (378932222946620).

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

210002212212100 is a wasteful number, since it uses less digits than its factorization.

210002212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198868 (or 198854 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210002212212100 its reverse (1212212200012), we get a palindrome (211214424412112).

The spelling of 210002212212100 in words is "two hundred ten trillion, two billion, two hundred twelve million, two hundred twelve thousand, one hundred".