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2122051000 = 235312491699
BaseRepresentation
bin111111001111011…
…1110110110111000
312110220000100201111
41332132332312320
513321221113000
6550322530104
7103405064416
oct17636766670
95426010644
102122051000
1199992a363
124b2806934
1327a83b9a4
14161b8a2b6
15c6470cba
hex7e7bedb8

2122051000 has 64 divisors (see below), whose sum is σ = 4972500000. Its totient is φ = 847641600.

The previous prime is 2122050991. The next prime is 2122051007. The reversal of 2122051000 is 1502212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122051007) 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, 1248151 + ... + 1249849.

Almost surely, 22122051000 is an apocalyptic number.

2122051000 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 2122051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486250000).

2122051000 is an abundant number, since it is smaller than the sum of its proper divisors (2850449000).

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

2122051000 is a wasteful number, since it uses less digits than its factorization.

2122051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2122051000 is about 46065.7247853542. The cubic root of 2122051000 is about 1285.0457976985.

Adding to 2122051000 its reverse (1502212), we get a palindrome (2123553212).

The spelling of 2122051000 in words is "two billion, one hundred twenty-two million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1249 1699 2498 3398 4996 6245 6796 8495 9992 12490 13592 16990 24980 31225 33980 42475 49960 62450 67960 84950 124900 156125 169900 212375 249800 312250 339800 424750 624500 849500 1249000 1699000 2122051 4244102 8488204 10610255 16976408 21220510 42441020 53051275 84882040 106102550 212205100 265256375 424410200 530512750 1061025500 2122051000