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2121133230 = 234525110433
BaseRepresentation
bin111111001101101…
…1110110010101110
312110211021201210000
41332123132302232
513321002230410
6550251125130
7103364222616
oct17633366256
95424251700
102121133230
11999362877
124b24437a6
1327a5aa028
141619cba46
15c633ddc0
hex7e6decae

2121133230 has 80 divisors (see below), whose sum is σ = 5726763504. Its totient is φ = 563328000.

The previous prime is 2121133207. The next prime is 2121133247. The reversal of 2121133230 is 323311212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198094 + ... + 208526.

Almost surely, 22121133230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863381752).

2121133230 is an abundant number, since it is smaller than the sum of its proper divisors (3605630274).

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

2121133230 is a wasteful number, since it uses less digits than its factorization.

2121133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2121133230 is about 46055.7621802093. The cubic root of 2121133230 is about 1284.8605136587.

Adding to 2121133230 its reverse (323311212), we get a palindrome (2444444442).

The spelling of 2121133230 in words is "two billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 251 270 405 502 753 810 1255 1506 2259 2510 3765 4518 6777 7530 10433 11295 13554 20331 20866 22590 31299 33885 40662 52165 62598 67770 93897 101655 104330 156495 187794 203310 281691 312990 469485 563382 845073 938970 1408455 1690146 2618683 2816910 4225365 5237366 7856049 8450730 13093415 15712098 23568147 26186830 39280245 47136294 70704441 78560490 117840735 141408882 212113323 235681470 353522205 424226646 707044410 1060566615 2121133230