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2121050256 = 24313192931199
BaseRepresentation
bin111111001101100…
…1010100010010000
312110211010111221220
41332123022202100
513320442102011
6550245245040
7103363425663
oct17633124220
95424114856
102121050256
119993064a6
124b2403780
1327a57b330
141619a96da
15c6324506
hex7e6ca890

2121050256 has 320 divisors, whose sum is σ = 6666240000. Its totient is φ = 574801920.

The previous prime is 2121050251. The next prime is 2121050257. The reversal of 2121050256 is 6520501212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2121050251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10658445 + ... + 10658643.

It is an arithmetic number, because the mean of its divisors is an integer number (20832000).

Almost surely, 22121050256 is an apocalyptic number.

2121050256 is a gapful number since it is divisible by the number (26) 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 2121050256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120000).

2121050256 is an abundant number, since it is smaller than the sum of its proper divisors (4545189744).

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

2121050256 is a wasteful number, since it uses less digits than its factorization.

2121050256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2121050256 is about 46054.8613720636. The cubic root of 2121050256 is about 1284.8437598146.

Adding to 2121050256 its reverse (6520501212), we get a palindrome (8641551468).

The spelling of 2121050256 in words is "two billion, one hundred twenty-one million, fifty thousand, two hundred fifty-six".