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210210022002000 = 243532337186722051
BaseRepresentation
bin101111110010111101010101…
…101100001000110101010000
31000120021212210212022110002110
4233302331111230020311100
5210023040111113031000
62023025052334545320
762164113210355626
oct5762752554106520
91016255725273073
10210210022002000
1160a8562a28aa49
121b6b013b068240
13903a948b58467
1439ca30dc83516
1519480a220d850
hexbf2f55b08d50

210210022002000 has 640 divisors, whose sum is σ = 726718100779008. Its totient is φ = 52139324160000.

The previous prime is 210210022001953. The next prime is 210210022002059. The reversal of 210210022002000 is 200220012012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9532890975 + ... + 9532913025.

Almost surely, 2210210022002000 is an apocalyptic number.

210210022002000 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 210210022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363359050389504).

210210022002000 is an abundant number, since it is smaller than the sum of its proper divisors (516508078777008).

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

210210022002000 is a wasteful number, since it uses less digits than its factorization.

210210022002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24004 (or 23988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210210022002000 its reverse (200220012012), we get a palindrome (210410242014012).

The spelling of 210210022002000 in words is "two hundred ten trillion, two hundred ten billion, twenty-two million, two thousand".