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2112073770 = 2352914831637
BaseRepresentation
bin111110111100011…
…1011000000101010
312110012020110112110
41331320323000222
513311142330040
6545325023150
7103224221322
oct17570730052
95405213473
102112073770
11994235314
124ab3b4ab6
132787575c1
14160710282
15c564e980
hex7de3b02a

2112073770 has 64 divisors (see below), whose sum is σ = 5250510720. Its totient is φ = 543099648.

The previous prime is 2112073757. The next prime is 2112073771. The reversal of 2112073770 is 773702112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2112073771) 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 31 ways as a sum of consecutive naturals, for example, 1289392 + ... + 1291028.

It is an arithmetic number, because the mean of its divisors is an integer number (82039230).

Almost surely, 22112073770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112073770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625255360).

2112073770 is an abundant number, since it is smaller than the sum of its proper divisors (3138436950).

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

2112073770 is a wasteful number, since it uses less digits than its factorization.

2112073770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 2112073770 is about 45957.3037720883. The cubic root of 2112073770 is about 1283.0286699436.

Adding to 2112073770 its reverse (773702112), we get a palindrome (2885775882).

The spelling of 2112073770 in words is "two billion, one hundred twelve million, seventy-three thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1483 1637 2966 3274 4449 4911 7415 8185 8898 9822 14830 16370 22245 24555 43007 44490 47473 49110 86014 94946 129021 142419 215035 237365 258042 284838 430070 474730 645105 712095 1290210 1424190 2427671 4855342 7283013 12138355 14566026 24276710 36415065 70402459 72830130 140804918 211207377 352012295 422414754 704024590 1056036885 2112073770