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2111421312 = 2732711131831
BaseRepresentation
bin111110111011001…
…1011101110000000
312110011000022112100
41331312123232000
513311010440222
6545303030400
7103215533160
oct17566335600
95404008470
102111421312
1199392a0a0
124ab13b400
13278589630
141605c05a0
15c55714ac
hex7dd9bb80

2111421312 has 384 divisors, whose sum is σ = 8162219520. Its totient is φ = 505958400.

The previous prime is 2111421307. The next prime is 2111421343. The reversal of 2111421312 is 2131241112.

2111421312 is a `hidden beast` number, since 211 + 1 + 421 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152237 + ... + 1154067.

It is an arithmetic number, because the mean of its divisors is an integer number (21255780).

Almost surely, 22111421312 is an apocalyptic number.

2111421312 is a gapful number since it is divisible by the number (22) 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 2111421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081109760).

2111421312 is an abundant number, since it is smaller than the sum of its proper divisors (6050798208).

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

2111421312 is a wasteful number, since it uses less digits than its factorization.

2111421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1867 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2111421312 is about 45950.2047003057. The cubic root of 2111421312 is about 1282.8965393732.

Adding to 2111421312 its reverse (2131241112), we get a palindrome (4242662424).

The spelling of 2111421312 in words is "two billion, one hundred eleven million, four hundred twenty-one thousand, three hundred twelve".