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11034211320 = 23325112786417
BaseRepresentation
bin10100100011011000…
…01011001111111000
31001110222211000100100
422101230023033320
5140044224230240
65022525235400
7540303151206
oct122154131770
931428730310
1011034211320
114752585310
12217b402b60
13106b045432
14769658076
15448a9ae30
hex291b0b3f8

11034211320 has 96 divisors (see below), whose sum is σ = 39121308720. Its totient is φ = 2674959360.

The previous prime is 11034211271. The next prime is 11034211423. The reversal of 11034211320 is 2311243011.

11034211320 is a `hidden beast` number, since 1 + 1 + 0 + 342 + 1 + 1 + 320 = 666.

11034211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110342113202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11034211293 and 11034211302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389249 + ... + 1397168.

Almost surely, 211034211320 is an apocalyptic number.

11034211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034211320 is an abundant number, since it is smaller than the sum of its proper divisors (28087097400).

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

11034211320 is a wasteful number, since it uses less digits than its factorization.

11034211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786445 (or 2786438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11034211320 its reverse (2311243011), we get a palindrome (13345454331).

The spelling of 11034211320 in words is "eleven billion, thirty-four million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 2786417 5572834 8359251 11145668 13932085 16718502 22291336 25077753 27864170 30650587 33437004 41796255 50155506 55728340 61301174 66874008 83592510 91951761 100311012 111456680 122602348 125388765 153252935 167185020 183903522 200622024 245204696 250777530 275855283 306505870 334370040 367807044 459758805 501555060 551710566 613011740 735614088 919517610 1003110120 1103421132 1226023480 1379276415 1839035220 2206842264 2758552830 3678070440 5517105660 11034211320