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2111212113 = 319223131647
BaseRepresentation
bin111110111010110…
…1000101001010001
312110010121200120020
41331311220221101
513310432241423
6545254334053
7103214002233
oct17565505121
95403550506
102111212113
119937a69aa
124ab05a329
1327851534a
14160568253
15c552e4e3
hex7dd68a51

2111212113 has 48 divisors (see below), whose sum is σ = 3128564736. Its totient is φ = 1263731040.

The previous prime is 2111212097. The next prime is 2111212157. The reversal of 2111212113 is 3112121112.

It is not a de Polignac number, because 2111212113 - 24 = 2111212097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111212092 and 2111212101.

It is not an unprimeable number, because it can be changed into a prime (2111212183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3262756 + ... + 3263402.

It is an arithmetic number, because the mean of its divisors is an integer number (65178432).

Almost surely, 22111212113 is an apocalyptic number.

2111212113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2111212113 is a deficient number, since it is larger than the sum of its proper divisors (1017352623).

2111212113 is a wasteful number, since it uses less digits than its factorization.

2111212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 823 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 2111212113 is about 45947.9282775622. The cubic root of 2111212113 is about 1282.8541683038.

Adding to 2111212113 its reverse (3112121112), we get a palindrome (5223333225).

The spelling of 2111212113 in words is "two billion, one hundred eleven million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 19 23 57 69 131 361 393 437 647 1083 1311 1941 2489 3013 7467 8303 9039 12293 14881 24909 36879 44643 47291 57247 84757 141873 171741 233567 254271 282739 700701 848217 1087693 1610383 1949411 3263079 4831149 5372041 5848233 16116123 30597277 37038809 91791831 111116427 703737371 2111212113