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2121254320 = 245105125229
BaseRepresentation
bin111111001101111…
…1100010110110000
312110211111212212211
41332123330112300
513321020114240
6550253501504
7103365235633
oct17633742660
95424455784
102121254320
11999435849
124b24a1894
1327a620193
14161a1dc1a
15c6364bea
hex7e6fc5b0

2121254320 has 40 divisors (see below), whose sum is σ = 4936804560. Its totient is φ = 847660800.

The previous prime is 2121254287. The next prime is 2121254353. The reversal of 2121254320 is 234521212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121254287) and next prime (2121254353).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2121254291 and 2121254300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71466 + ... + 96694.

It is an arithmetic number, because the mean of its divisors is an integer number (123420114).

Almost surely, 22121254320 is an apocalyptic number.

2121254320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121254320 is an abundant number, since it is smaller than the sum of its proper divisors (2815550240).

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

2121254320 is a wasteful number, since it uses less digits than its factorization.

2121254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26293 (or 26287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2121254320 is about 46057.0767635116. The cubic root of 2121254320 is about 1284.8849629793.

Adding to 2121254320 its reverse (234521212), we get a palindrome (2355775532).

The spelling of 2121254320 in words is "two billion, one hundred twenty-one million, two hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1051 2102 4204 5255 8408 10510 16816 21020 25229 42040 50458 84080 100916 126145 201832 252290 403664 504580 1009160 2018320 26515679 53031358 106062716 132578395 212125432 265156790 424250864 530313580 1060627160 2121254320