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2121211320 = 233535295009
BaseRepresentation
bin111111001101111…
…0001110110111000
312110211102200220020
41332123301312320
513321012230240
6550252530440
7103364666364
oct17633616670
95424380806
102121211320
11999406508
124b2480a20
1327a606737
14161a0c2a4
15c63570d0
hex7e6f1db8

2121211320 has 64 divisors (see below), whose sum is σ = 6366708000. Its totient is φ = 565383168.

The previous prime is 2121211289. The next prime is 2121211327. The reversal of 2121211320 is 231121212.

It is a super-2 number, since 2×21212113202 = 8999074928192284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121211320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121211327) 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, 420976 + ... + 425984.

Almost surely, 22121211320 is an apocalyptic number.

2121211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121211320 is an abundant number, since it is smaller than the sum of its proper divisors (4245496680).

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

2121211320 is a wasteful number, since it uses less digits than its factorization.

2121211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2121211320 is about 46056.6099490616. The cubic root of 2121211320 is about 1284.8762809421.

Adding to 2121211320 its reverse (231121212), we get a palindrome (2352332532).

The spelling of 2121211320 in words is "two billion, one hundred twenty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3529 5009 7058 10018 10587 14116 15027 17645 20036 21174 25045 28232 30054 35290 40072 42348 50090 52935 60108 70580 75135 84696 100180 105870 120216 141160 150270 200360 211740 300540 423480 601080 17676761 35353522 53030283 70707044 88383805 106060566 141414088 176767610 212121132 265151415 353535220 424242264 530302830 707070440 1060605660 2121211320