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2112424314 = 2371113509691
BaseRepresentation
bin111110111101001…
…0000100101111010
312110012220021101120
41331322100211322
513311240034224
6545340330110
7103230211320
oct17572204572
95405807346
102112424314
11994454720
124ab543936
1327884b020
141607a1d10
15c56bd779
hex7de9097a

2112424314 has 128 divisors (see below), whose sum is σ = 5691893760. Its totient is φ = 504748800.

The previous prime is 2112424277. The next prime is 2112424319. The reversal of 2112424314 is 4134242112.

It is not an unprimeable number, because it can be changed into a prime (2112424319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3056709 + ... + 3057399.

It is an arithmetic number, because the mean of its divisors is an integer number (44467920).

Almost surely, 22112424314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112424314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845946880).

2112424314 is an abundant number, since it is smaller than the sum of its proper divisors (3579469446).

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

2112424314 is a wasteful number, since it uses less digits than its factorization.

2112424314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236.

The product of its digits is 1536, while the sum is 24.

The square root of 2112424314 is about 45961.1174146147. The cubic root of 2112424314 is about 1283.0996480708.

Adding to 2112424314 its reverse (4134242112), we get a palindrome (6246666426).

It can be divided in two parts, 2112 and 424314, that added together give a triangular number (426426 = T923).

The spelling of 2112424314 in words is "two billion, one hundred twelve million, four hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 509 546 691 858 1001 1018 1382 1527 2002 2073 3003 3054 3563 4146 4837 5599 6006 6617 7126 7601 8983 9674 10689 11198 13234 14511 15202 16797 17966 19851 21378 22803 26949 29022 33594 39193 39702 45606 46319 53207 53898 62881 72787 78386 92638 98813 106414 117579 125762 138957 145574 159621 188643 197626 218361 235158 277914 296439 319242 351719 377286 436722 509509 592878 691691 703438 1019018 1055157 1383382 1528527 2075073 2110314 2462033 3057054 3868909 4150146 4572347 4924066 7386099 7737818 9144694 11606727 13717041 14772198 23213454 27082363 27434082 32006429 50295817 54164726 64012858 81247089 96019287 100591634 150887451 162494178 192038574 301774902 352070719 704141438 1056212157 2112424314