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2112211983 = 37214368789
BaseRepresentation
bin111110111100101…
…1100110000001111
312110012111111010110
41331321130300033
513311211240413
6545332011103
7103225335300
oct17571346017
95405444113
102112211983
1199431a142
124ab460a93
132787a549b
141607487a7
15c567a8c3
hex7de5cc0f

2112211983 has 12 divisors (see below), whose sum is σ = 3276084120. Its totient is φ = 1206978192.

The previous prime is 2112211967. The next prime is 2112212029. The reversal of 2112211983 is 3891122112.

It is not a de Polignac number, because 2112211983 - 24 = 2112211967 is a prime.

It is a super-3 number, since 3×21122119833 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2112211983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7184248 + ... + 7184541.

It is an arithmetic number, because the mean of its divisors is an integer number (273007010).

Almost surely, 22112211983 is an apocalyptic number.

2112211983 is a deficient number, since it is larger than the sum of its proper divisors (1163872137).

2112211983 is a wasteful number, since it uses less digits than its factorization.

2112211983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368806 (or 14368799 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 2112211983 is about 45958.8074584187. The cubic root of 2112211983 is about 1283.0566562409.

The spelling of 2112211983 in words is "two billion, one hundred twelve million, two hundred eleven thousand, nine hundred eighty-three".

Divisors: 1 3 7 21 49 147 14368789 43106367 100581523 301744569 704070661 2112211983