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11044100520 = 2334514922877
BaseRepresentation
bin10100100100100011…
…11001100110101000
31001111200102102210000
422102101321212220
5140104242204040
65023521223000
7540453206535
oct122221714650
931450372700
1011044100520
11475811a202
122182791a60
1310700c872b
1476aaadd8c
154498a1130
hex2924799a8

11044100520 has 160 divisors (see below), whose sum is σ = 37371213000. Its totient is φ = 2925199872.

The previous prime is 11044100519. The next prime is 11044100527. The reversal of 11044100520 is 2500144011.

11044100520 is a `hidden beast` number, since 1 + 1 + 0 + 44 + 100 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8852175396 + 2191925124 = 94086^2 + 46818^2 .

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 = 11044100493 and 11044100502.

It is not an unprimeable number, because it can be changed into a prime (11044100527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471322 + ... + 494198.

Almost surely, 211044100520 is an apocalyptic number.

11044100520 is a gapful number since it is divisible by the number (10) 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 11044100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685606500).

11044100520 is an abundant number, since it is smaller than the sum of its proper divisors (26327112480).

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

11044100520 is a wasteful number, since it uses less digits than its factorization.

11044100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23049 (or 23036 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11044100520 its reverse (2500144011), we get a palindrome (13544244531).

The spelling of 11044100520 in words is "eleven billion, forty-four million, one hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 149 162 180 216 270 298 324 360 405 447 540 596 648 745 810 894 1080 1192 1341 1490 1620 1788 2235 2682 2980 3240 3576 4023 4470 5364 5960 6705 8046 8940 10728 12069 13410 16092 17880 20115 22877 24138 26820 32184 40230 45754 48276 53640 60345 68631 80460 91508 96552 114385 120690 137262 160920 183016 205893 228770 241380 274524 343155 411786 457540 482760 549048 617679 686310 823572 915080 1029465 1235358 1372620 1647144 1853037 2058930 2470716 2745240 3088395 3408673 3706074 4117860 4941432 6176790 6817346 7412148 8235720 9265185 10226019 12353580 13634692 14824296 17043365 18530370 20452038 24707160 27269384 30678057 34086730 37060740 40904076 51130095 61356114 68173460 74121480 81808152 92034171 102260190 122712228 136346920 153390285 184068342 204520380 245424456 276102513 306780570 368136684 409040760 460170855 552205026 613561140 736273368 920341710 1104410052 1227122280 1380512565 1840683420 2208820104 2761025130 3681366840 5522050260 11044100520