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11012131840 = 210510720101
BaseRepresentation
bin10100100000101111…
…11100110000000000
31001102110021020222211
422100113330300000
5140023101204330
65020420111504
7536614401433
oct122027746000
931373236884
1011012131840
114741074706
122173b35594
1310665b4658
1476674b81a
15446b88d2a
hex2905fcc00

11012131840 has 88 divisors (see below), whose sum is σ = 26664418512. Its totient is φ = 4363468800.

The previous prime is 11012131799. The next prime is 11012131841. The reversal of 11012131840 is 4813121011.

It is not an unprimeable number, because it can be changed into a prime (11012131841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537790 + ... + 557890.

Almost surely, 211012131840 is an apocalyptic number.

11012131840 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 11012131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332209256).

11012131840 is an abundant number, since it is smaller than the sum of its proper divisors (15652286672).

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

11012131840 is a wasteful number, since it uses less digits than its factorization.

11012131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20233 (or 20215 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 11012131840 its reverse (4813121011), we get a palindrome (15825252851).

The spelling of 11012131840 in words is "eleven billion, twelve million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 512 535 640 856 1024 1070 1280 1712 2140 2560 3424 4280 5120 6848 8560 13696 17120 20101 27392 34240 40202 54784 68480 80404 100505 109568 136960 160808 201010 273920 321616 402020 547840 643232 804040 1286464 1608080 2150807 2572928 3216160 4301614 5145856 6432320 8603228 10291712 10754035 12864640 17206456 20583424 21508070 25729280 34412912 43016140 51458560 68825824 86032280 102917120 137651648 172064560 275303296 344129120 550606592 688258240 1101213184 1376516480 2202426368 2753032960 5506065920 11012131840