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210032122020000 = 253547981150971
BaseRepresentation
bin101111110000010111101010…
…000001100100000010100000
31000112122212121201002222222020
4233300113222001210002200
5210012131241214120000
62022411231432541440
762145214531436160
oct5760275201440240
91015585551088866
10210032122020000
1160a17139399435
121b681770851880
139026c3730a017
1439c1874d3a5a0
15194363e072ba0
hexbf05ea0640a0

210032122020000 has 480 divisors, whose sum is σ = 787464121618944. Its totient is φ = 48001507200000.

The previous prime is 210032122019987. The next prime is 210032122020031. The reversal of 210032122020000 is 20221230012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2100321220200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4120594515 + ... + 4120645485.

Almost surely, 2210032122020000 is an apocalyptic number.

210032122020000 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 210032122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393732060809472).

210032122020000 is an abundant number, since it is smaller than the sum of its proper divisors (577431999598944).

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

210032122020000 is an equidigital number, since it uses as much as digits as its factorization.

210032122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60822 (or 60799 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 210032122020000 its reverse (20221230012), we get a palindrome (210052343250012).

The spelling of 210032122020000 in words is "two hundred ten trillion, thirty-two billion, one hundred twenty-two million, twenty thousand".