Search a number
-
+
2811030012 = 2232719718269
BaseRepresentation
bin1010011110001100…
…1110100111111100
321020220110010020200
42213203032213330
521224110430022
61142534043500
7126442234530
oct24743164774
97226403220
102811030012
1112128314aa
126654a9590
1335a4bc88b
141c9495bc0
15116bb7bac
hexa78ce9fc

2811030012 has 144 divisors (see below), whose sum is σ = 8669606400. Its totient is φ = 750072960.

The previous prime is 2811030007. The next prime is 2811030017. The reversal of 2811030012 is 2100301182.

It is an interprime number because it is at equal distance from previous prime (2811030007) and next prime (2811030017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811030017) 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 47 ways as a sum of consecutive naturals, for example, 335814 + ... + 344082.

It is an arithmetic number, because the mean of its divisors is an integer number (60205600).

Almost surely, 22811030012 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 2811030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334803200).

2811030012 is an abundant number, since it is smaller than the sum of its proper divisors (5858576388).

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

2811030012 is a wasteful number, since it uses less digits than its factorization.

2811030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2811030012 is about 53019.1475978254. The cubic root of 2811030012 is about 1411.3080783897.

Adding to 2811030012 its reverse (2100301182), we get a palindrome (4911331194).

The spelling of 2811030012 in words is "two billion, eight hundred eleven million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 71 76 84 114 126 133 142 171 213 228 252 266 284 342 399 426 497 532 639 684 798 852 994 1197 1278 1349 1491 1596 1988 2394 2556 2698 2982 4047 4473 4788 5396 5964 8094 8269 8946 9443 12141 16188 16538 17892 18886 24282 24807 28329 33076 37772 48564 49614 56658 57883 74421 84987 99228 113316 115766 148842 157111 169974 173649 231532 297684 314222 339948 347298 471333 520947 587099 628444 694596 942666 1041894 1099777 1174198 1413999 1761297 1885332 2083788 2199554 2348396 2827998 3299331 3522594 4109693 4399108 5283891 5655996 6598662 7045188 8219386 9897993 10567782 11154881 12329079 13197324 16438772 19795986 21135564 22309762 24658158 33464643 36987237 39591972 44619524 49316316 66929286 73974474 78084167 100393929 133858572 147948948 156168334 200787858 234252501 312336668 401575716 468505002 702757503 937010004 1405515006 2811030012