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2121021140 = 2257292931783
BaseRepresentation
bin111111001101100…
…0011011011010100
312110211002001000112
41332123003123110
513320440134030
6550244502152
7103363245050
oct17633033324
95424061015
102121021140
11999296637
124b23aa958
1327a56acc4
1416199cc60
15c631aa95
hex7e6c36d4

2121021140 has 96 divisors (see below), whose sum is σ = 5286919680. Its totient is φ = 699342336.

The previous prime is 2121021137. The next prime is 2121021181. The reversal of 2121021140 is 411201212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188689 + ... + 1190471.

It is an arithmetic number, because the mean of its divisors is an integer number (55072080).

Almost surely, 22121021140 is an apocalyptic number.

2121021140 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 2121021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643459840).

2121021140 is an abundant number, since it is smaller than the sum of its proper divisors (3165898540).

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

2121021140 is a wasteful number, since it uses less digits than its factorization.

2121021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2121021140 is about 46054.5452697125. The cubic root of 2121021140 is about 1284.8378807016.

Adding to 2121021140 its reverse (411201212), we get a palindrome (2532222352).

The spelling of 2121021140 in words is "two billion, one hundred twenty-one million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 293 406 580 586 812 1015 1172 1465 1783 2030 2051 2930 3566 4060 4102 5860 7132 8204 8497 8915 10255 12481 16994 17830 20510 24962 33988 35660 41020 42485 49924 51707 59479 62405 84970 103414 118958 124810 169940 206828 237916 249620 258535 297395 361949 517070 522419 594790 723898 1034140 1044838 1189580 1447796 1809745 2089676 2612095 3619490 3656933 5224190 7238980 7313866 10448380 14627732 15150151 18284665 30300302 36569330 60600604 73138660 75750755 106051057 151501510 212102114 303003020 424204228 530255285 1060510570 2121021140