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11112001101100 = 22524127111039067
BaseRepresentation
bin1010000110110011011011…
…1000001101110100101100
31110100022000110111010100001
42201230312320031310230
52424024334240213400
635344441031514044
72224546513632634
oct241546670156454
943308013433301
1011112001101100
1135a4633a28989
1212b56b6828924
13627b1b392543
142a5b7641d6c4
151440ae2d0a6a
hexa1b36e0dd2c

11112001101100 has 144 divisors (see below), whose sum is σ = 24817527576576. Its totient is φ = 4315996224000.

The previous prime is 11112001101043. The next prime is 11112001101107. The reversal of 11112001101100 is 110110021111.

11112001101100 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 2×111120011011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11112001101107) 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, 1225538767 + ... + 1225547833.

It is an arithmetic number, because the mean of its divisors is an integer number (172343941504).

Almost surely, 211112001101100 is an apocalyptic number.

11112001101100 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 11112001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408763788288).

11112001101100 is an abundant number, since it is smaller than the sum of its proper divisors (13705526475476).

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

11112001101100 is a wasteful number, since it uses less digits than its factorization.

11112001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10496 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11112001101100 its reverse (110110021111), we get a palindrome (11222111122211).

The spelling of 11112001101100 in words is "eleven trillion, one hundred twelve billion, one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1103 1355 2050 2206 2710 4100 4412 5420 5515 6775 9067 11030 11111 13550 18134 22060 22222 27100 27575 36268 44444 45223 45335 55150 55555 90446 90670 110300 111110 180892 181340 222220 226115 226675 277775 298913 371747 452230 453350 555550 597826 743494 904460 906700 1111100 1130575 1195652 1486988 1494565 1858735 2261150 2457157 2989130 3717470 4522300 4914314 5978260 7434940 7472825 9293675 9828628 10000901 12255433 12285785 14945650 18587350 20001802 24510866 24571570 29891300 37174700 40003604 49021732 49143140 50004505 61277165 61428925 100009010 100743437 122554330 122857850 200018020 201486874 245108660 245715700 250022525 306385825 402973748 410036941 500045050 503717185 612771650 820073882 1000090100 1007434370 1225543300 1640147764 2014868740 2050184705 2518585925 2710244171 4100369410 5037171850 5420488342 8200738820 10074343700 10250923525 10840976684 13551220855 20501847050 27102441710 41003694100 54204883420 67756104275 111120011011 135512208550 222240022022 271024417100 444480044044 555600055055 1111200110110 2222400220220 2778000275275 5556000550550 11112001101100