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2111212320 = 2535717231607
BaseRepresentation
bin111110111010110…
…1000101100100000
312110010121200211220
41331311220230200
513310432243240
6545254335040
7103214002650
oct17565505440
95403550756
102111212320
119937a7078
124ab05a480
13278515479
14160568360
15c552e5d0
hex7dd68b20

2111212320 has 384 divisors, whose sum is σ = 8402558976. Its totient is φ = 434159616.

The previous prime is 2111212289. The next prime is 2111212339. The reversal of 2111212320 is 232121112.

2111212320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 2111212320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1312957 + ... + 1314563.

It is an arithmetic number, because the mean of its divisors is an integer number (21881664).

Almost surely, 22111212320 is an apocalyptic number.

2111212320 is a gapful number since it is divisible by the number (20) 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 2111212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201279488).

2111212320 is an abundant number, since it is smaller than the sum of its proper divisors (6291346656).

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

2111212320 is a wasteful number, since it uses less digits than its factorization.

2111212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

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

The square root of 2111212320 is about 45947.9305301120. The cubic root of 2111212320 is about 1282.8542102308.

Adding to 2111212320 its reverse (232121112), we get a palindrome (2343333432).

The spelling of 2111212320 in words is "two billion, one hundred eleven million, two hundred twelve thousand, three hundred twenty".