Search a number
-
+
12311444010 = 2353744325037
BaseRepresentation
bin10110111011101000…
…11011101000101010
31011210000011011012210
423131310123220222
5200203212202020
65353352545550
7614042355525
oct133564335052
934700134183
1012311444010
115248542118
1224770b22b6
13121283b518
1484b12dbbc
154c0c903e0
hex2ddd1ba2a

12311444010 has 64 divisors (see below), whose sum is σ = 30415761792. Its totient is φ = 3186982656.

The previous prime is 12311443997. The next prime is 12311444021. The reversal of 12311444010 is 1044411321.

It is a super-2 number, since 2×123114440102 (a number of 21 digits) contains 22 as substring.

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, 479212 + ... + 504248.

It is an arithmetic number, because the mean of its divisors is an integer number (475246278).

Almost surely, 212311444010 is an apocalyptic number.

12311444010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311444010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207880896).

12311444010 is an abundant number, since it is smaller than the sum of its proper divisors (18104317782).

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

12311444010 is a wasteful number, since it uses less digits than its factorization.

12311444010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25527.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12311444010 its reverse (1044411321), we get a palindrome (13355855331).

The spelling of 12311444010 in words is "twelve billion, three hundred eleven million, four hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 443 555 886 1110 1329 2215 2658 4430 6645 13290 16391 25037 32782 49173 50074 75111 81955 98346 125185 150222 163910 245865 250370 375555 491730 751110 926369 1852738 2779107 4631845 5558214 9263690 11091391 13895535 22182782 27791070 33274173 55456955 66548346 110913910 166370865 332741730 410381467 820762934 1231144401 2051907335 2462288802 4103814670 6155722005 12311444010