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2122001000 = 23537303143
BaseRepresentation
bin111111001111011…
…0010101001101000
312110212220211010122
41332132302221220
513321213013000
6550321502412
7103404465560
oct17636625150
95425824118
102122001000
119998a5839
124b27a1a08
1327a821cc2
14161b75da0
15c6461085
hex7e7b2a68

2122001000 has 64 divisors (see below), whose sum is σ = 5674855680. Its totient is φ = 727540800.

The previous prime is 2122000957. The next prime is 2122001009. The reversal of 2122001000 is 1002212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2122001009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144572 + ... + 158571.

It is an arithmetic number, because the mean of its divisors is an integer number (88669620).

Almost surely, 22122001000 is an apocalyptic number.

2122001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122001000 is an abundant number, since it is smaller than the sum of its proper divisors (3552854680).

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

2122001000 is a wasteful number, since it uses less digits than its factorization.

2122001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303171 (or 303157 counting only the distinct ones).

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

The square root of 2122001000 is about 46065.1820793102. The cubic root of 2122001000 is about 1285.0357048223.

Adding to 2122001000 its reverse (1002212), we get a palindrome (2123003212).

The spelling of 2122001000 in words is "two billion, one hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 303143 606286 1212572 1515715 2122001 2425144 3031430 4244002 6062860 7578575 8488004 10610005 12125720 15157150 16976008 21220010 30314300 37892875 42440020 53050025 60628600 75785750 84880040 106100050 151571500 212200100 265250125 303143000 424400200 530500250 1061000500 2122001000