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2121297948 = 2232711273953
BaseRepresentation
bin111111001110000…
…0111000000011100
312110211121002201200
41332130013000130
513321023013243
6550254435500
7103365510060
oct17634070034
95424532650
102121297948
11999465600
124b2502b90
1327a636cb3
14161a31aa0
15c6372ad3
hex7e70701c

2121297948 has 216 divisors, whose sum is σ = 6835387104. Its totient is φ = 542868480.

The previous prime is 2121297929. The next prime is 2121297979. The reversal of 2121297948 is 8497921212.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2225440 + ... + 2226392.

Almost surely, 22121297948 is an apocalyptic number.

2121297948 is a gapful number since it is divisible by the number (28) 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 2121297948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417693552).

2121297948 is an abundant number, since it is smaller than the sum of its proper divisors (4714089156).

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

2121297948 is a wasteful number, since it uses less digits than its factorization.

2121297948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1049 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2121297948 is about 46057.5503907883. The cubic root of 2121297948 is about 1284.8937716947.

The spelling of 2121297948 in words is "two billion, one hundred twenty-one million, two hundred ninety-seven thousand, nine hundred forty-eight".