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11234124312 = 23341107106699
BaseRepresentation
bin10100111011001101…
…10010001000011000
31001222220222122102020
422131212302020120
5141001413434222
65054430134440
7545251324005
oct123546621030
931886878366
1011234124312
114845408964
122216351420
1310a059bc48
147880168ac
1545b3d965c
hex29d9b2218

11234124312 has 64 divisors (see below), whose sum is σ = 29039472000. Its totient is φ = 3619196160.

The previous prime is 11234124289. The next prime is 11234124367. The reversal of 11234124312 is 21342143211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51939 + ... + 158637.

It is an arithmetic number, because the mean of its divisors is an integer number (453741750).

Almost surely, 211234124312 is an apocalyptic number.

11234124312 is a gapful number since it is divisible by the number (12) 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 11234124312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519736000).

11234124312 is an abundant number, since it is smaller than the sum of its proper divisors (17805347688).

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

11234124312 is a wasteful number, since it uses less digits than its factorization.

11234124312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106856 (or 106852 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11234124312 its reverse (21342143211), we get a palindrome (32576267523).

The spelling of 11234124312 in words is "eleven billion, two hundred thirty-four million, one hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 107 123 164 214 246 321 328 428 492 642 856 984 1284 2568 4387 8774 13161 17548 26322 35096 52644 105288 106699 213398 320097 426796 640194 853592 1280388 2560776 4374659 8749318 11416793 13123977 17498636 22833586 26247954 34250379 34997272 45667172 52495908 68500758 91334344 104991816 137001516 274003032 468088513 936177026 1404265539 1872354052 2808531078 3744708104 5617062156 11234124312