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2310012012 = 22371113991787
BaseRepresentation
bin1000100110101111…
…1111110001101100
312221222200202202110
42021223333301230
514212330341022
61021115324020
7111146530620
oct21153776154
95858622673
102310012012
11a85a3a240
12545750610
132aa76c319
1417cb17180
15d7bed00c
hex89affc6c

2310012012 has 96 divisors (see below), whose sum is σ = 6728601600. Its totient is φ = 599238720.

The previous prime is 2310012007. The next prime is 2310012041. The reversal of 2310012012 is 2102100132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1291783 + ... + 1293569.

It is an arithmetic number, because the mean of its divisors is an integer number (70089600).

Almost surely, 22310012012 is an apocalyptic number.

2310012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2310012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364300800).

2310012012 is an abundant number, since it is smaller than the sum of its proper divisors (4418589588).

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

2310012012 is a wasteful number, since it uses less digits than its factorization.

2310012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2310012012 is about 48062.5843250236. The cubic root of 2310012012 is about 1321.9186996021.

Adding to 2310012012 its reverse (2102100132), we get a palindrome (4412112144).

It can be divided in two parts, 23100120 and 12, that added together give a palindrome (23100132).

The spelling of 2310012012 in words is "two billion, three hundred ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1399 1787 2798 3574 4197 5361 5596 7148 8394 9793 10722 12509 15389 16788 19586 19657 21444 25018 29379 30778 37527 39172 39314 46167 50036 58758 58971 61556 75054 78628 92334 107723 117516 117942 137599 150108 184668 215446 235884 275198 323169 412797 430892 550396 646338 825594 1292676 1651188 2500013 5000026 7500039 10000052 15000078 17500091 27500143 30000156 35000182 52500273 55000286 70000364 82500429 105000546 110000572 165000858 192501001 210001092 330001716 385002002 577503003 770004004 1155006006 2310012012