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2111511012 = 2231323672837
BaseRepresentation
bin111110111011011…
…0001100111100100
312110011011212120120
41331312301213210
513311021323022
6545305001540
7103216355532
oct17566614744
95404155516
102111511012
11993990526
124ab1832b0
132785bb400
14160605152
15c558cd5c
hex7ddb19e4

2111511012 has 72 divisors (see below), whose sum is σ = 5351423616. Its totient is φ = 647697024.

The previous prime is 2111510923. The next prime is 2111511013. The reversal of 2111511012 is 2101151112.

It is a junction number, because it is equal to n+sod(n) for n = 2111510982 and 2111511000.

It is not an unprimeable number, because it can be changed into a prime (2111511013) 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 23 ways as a sum of consecutive naturals, for example, 742858 + ... + 745694.

It is an arithmetic number, because the mean of its divisors is an integer number (74325328).

Almost surely, 22111511012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111511012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675711808).

2111511012 is an abundant number, since it is smaller than the sum of its proper divisors (3239912604).

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

2111511012 is a wasteful number, since it uses less digits than its factorization.

2111511012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 2111511012 is about 45951.1807465271. The cubic root of 2111511012 is about 1282.9147063128.

Adding to 2111511012 its reverse (2101151112), we get a palindrome (4212662124).

The spelling of 2111511012 in words is "two billion, one hundred eleven million, five hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 367 507 676 734 1014 1101 1468 2028 2202 2837 4404 4771 5674 8511 9542 11348 14313 17022 19084 28626 34044 36881 57252 62023 73762 110643 124046 147524 186069 221286 248092 372138 442572 479453 744276 958906 1041179 1438359 1917812 2082358 2876718 3123537 4164716 5753436 6247074 12494148 13535327 27070654 40605981 54141308 81211962 162423924 175959251 351918502 527877753 703837004 1055755506 2111511012