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2121211125 = 335311173361
BaseRepresentation
bin111111001101111…
…0001110011110101
312110211102200122000
41332123301303311
513321012224000
6550252525513
7103364665665
oct17633616365
95424380560
102121211125
11999406350
124b2480899
1327a606617
14161a0c1a5
15c6357000
hex7e6f1cf5

2121211125 has 128 divisors (see below), whose sum is σ = 4531438080. Its totient is φ = 967680000.

The previous prime is 2121211111. The next prime is 2121211139. The reversal of 2121211125 is 5211121212.

It is an interprime number because it is at equal distance from previous prime (2121211111) and next prime (2121211139).

It is not a de Polignac number, because 2121211125 - 24 = 2121211109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121211098 and 2121211107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 629445 + ... + 632805.

It is an arithmetic number, because the mean of its divisors is an integer number (35401860).

Almost surely, 22121211125 is an apocalyptic number.

2121211125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2121211125 is an abundant number, since it is smaller than the sum of its proper divisors (2410226955).

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

2121211125 is a wasteful number, since it uses less digits than its factorization.

2121211125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3397 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 2121211125 is about 46056.6078321016. The cubic root of 2121211125 is about 1284.8762415698.

Adding to 2121211125 its reverse (5211121212), we get a palindrome (7332332337).

The spelling of 2121211125 in words is "two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 85 99 125 135 153 165 187 225 255 275 297 375 425 459 495 561 675 765 825 935 1125 1275 1375 1485 1683 2125 2295 2475 2805 3361 3375 3825 4125 4675 5049 6375 7425 8415 10083 11475 12375 14025 16805 19125 23375 25245 30249 36971 37125 42075 50415 57137 57375 70125 84025 90747 110913 126225 151245 171411 184855 210375 252075 285685 332739 420125 453735 514233 554565 628507 631125 756225 857055 924275 998217 1260375 1428425 1542699 1663695 1885521 2268675 2571165 2772825 3142535 3781125 4285275 4621375 4991085 5656563 7142125 7713495 8318475 9427605 11343375 12855825 13864125 15712675 16969689 21426375 24955425 28282815 38567475 41592375 47138025 64279125 78563375 84848445 124777125 141414075 192837375 235690125 424242225 707070375 2121211125