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11011243520 = 29528115307
BaseRepresentation
bin10100100000101001…
…00011111000000000
31001102101121010110002
422100110203320000
5140022334243040
65020345055132
7536604011534
oct122024437000
931371533402
1011011243520
114740618262
1221737874a8
131066363214
14766599bc4
15446a60a15
hex290523e00

11011243520 has 80 divisors (see below), whose sum is σ = 26496862128. Its totient is φ = 4388536320.

The previous prime is 11011243511. The next prime is 11011243559. The reversal of 11011243520 is 2534211011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11011243492 and 11011243501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711707 + ... + 727013.

Almost surely, 211011243520 is an apocalyptic number.

11011243520 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 11011243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248431064).

11011243520 is an abundant number, since it is smaller than the sum of its proper divisors (15485618608).

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

11011243520 is an equidigital number, since it uses as much as digits as its factorization.

11011243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611 (or 15595 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11011243520 its reverse (2534211011), we get a palindrome (13545454531).

The spelling of 11011243520 in words is "eleven billion, eleven million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 281 320 512 562 640 1124 1280 1405 2248 2560 2810 4496 5620 8992 11240 15307 17984 22480 30614 35968 44960 61228 71936 76535 89920 122456 143872 153070 179840 244912 306140 359680 489824 612280 719360 979648 1224560 1959296 2449120 3918592 4301267 4898240 7837184 8602534 9796480 17205068 19592960 21506335 34410136 39185920 43012670 68820272 86025340 137640544 172050680 275281088 344101360 550562176 688202720 1101124352 1376405440 2202248704 2752810880 5505621760 11011243520