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11230111100 = 22521323379991
BaseRepresentation
bin10100111010101110…
…11110010101111100
31001222122102202022202
422131113132111330
5140444402023400
65054204131032
7545202240455
oct123527362574
931878382282
1011230111100
11484311775a
122214b36a78
13109c7c5370
1478769012c
1545ad954d5
hex29d5de57c

11230111100 has 144 divisors (see below), whose sum is σ = 27484907520. Its totient is φ = 3951763200.

The previous prime is 11230111099. The next prime is 11230111103. The reversal of 11230111100 is 111103211.

It is a happy number.

It is a super-2 number, since 2×112301111002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11331605 + ... + 11332595.

Almost surely, 211230111100 is an apocalyptic number.

11230111100 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 11230111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742453760).

11230111100 is an abundant number, since it is smaller than the sum of its proper divisors (16254796420).

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

11230111100 is a wasteful number, since it uses less digits than its factorization.

11230111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11230111100 its reverse (111103211), we get a palindrome (11341214311).

The spelling of 11230111100 in words is "eleven billion, two hundred thirty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 379 460 575 598 650 758 991 1150 1196 1300 1495 1516 1895 1982 2300 2990 3790 3964 4927 4955 5980 7475 7580 8717 9475 9854 9910 12883 14950 17434 18950 19708 19820 22793 24635 24775 25766 29900 34868 37900 43585 45586 49270 49550 51532 64415 87170 91172 98540 99100 113321 113965 123175 128830 174340 217925 226642 227930 246350 257660 296309 322075 375589 435850 453284 455860 492700 566605 569825 592618 644150 751178 871700 1133210 1139650 1185236 1288300 1481545 1502356 1877945 2266420 2279300 2833025 2963090 3755890 4882657 5666050 5926180 7407725 7511780 8638547 9389725 9765314 11332100 14815450 17277094 18779450 19530628 24413285 29630900 34554188 37558900 43192735 48826570 86385470 97653140 112301111 122066425 172770940 215963675 224602222 244132850 431927350 449204444 488265700 561505555 863854700 1123011110 2246022220 2807527775 5615055550 11230111100