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211022020000 = 2554111723319
BaseRepresentation
bin1100010010000111100…
…1000111110110100000
3202011200111011022111101
43010201321013312200
511424133114120000
6240535302124144
721150215401051
oct3044171076640
9664614138441
10211022020000
1181548479a40
1234a92a20654
1316b8c9864bc
14a2dbc84728
155750e12e6a
hex3121e47da0

211022020000 has 360 divisors, whose sum is σ = 601795988640. Its totient is φ = 72199680000.

The previous prime is 211022019961. The next prime is 211022020009. The reversal of 211022020000 is 20220112.

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

It is not an unprimeable number, because it can be changed into a prime (211022020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63578341 + ... + 63581659.

It is an arithmetic number, because the mean of its divisors is an integer number (1671655524).

Almost surely, 2211022020000 is an apocalyptic number.

211022020000 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 211022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300897994320).

211022020000 is an abundant number, since it is smaller than the sum of its proper divisors (390773968640).

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

211022020000 is a wasteful number, since it uses less digits than its factorization.

211022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211022020000 its reverse (20220112), we get a palindrome (211042240112).

The spelling of 211022020000 in words is "two hundred eleven billion, twenty-two million, twenty thousand".