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11100011110100 = 225211231014343917
BaseRepresentation
bin1010000110000110110000…
…1110000001111011010100
31110022011001212012110202022
42201201230032001323110
52423330310321010400
635335135200432312
72223643423453643
oct241415416017324
943264055173668
1011100011110100
11359a540993210
1212b330b318698
1362695a323703
142a5359c8935a
15143b0b88ab85
hexa186c381ed4

11100011110100 has 144 divisors (see below), whose sum is σ = 27690704931456. Its totient is φ = 3822646080000.

The previous prime is 11100011110087. The next prime is 11100011110127. The reversal of 11100011110100 is 101111000111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383342 + ... + 4727258.

It is an arithmetic number, because the mean of its divisors is an integer number (192296562024).

Almost surely, 211100011110100 is an apocalyptic number.

11100011110100 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 11100011110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845352465728).

11100011110100 is an abundant number, since it is smaller than the sum of its proper divisors (16590693821356).

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

11100011110100 is a wasteful number, since it uses less digits than its factorization.

11100011110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344066 (or 4344059 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11100011110100 its reverse (101111000111), we get a palindrome (11201122110211).

The spelling of 11100011110100 in words is "eleven trillion, one hundred billion, eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 101 110 115 202 220 230 253 275 404 460 505 506 550 575 1010 1012 1100 1111 1150 1265 2020 2222 2300 2323 2525 2530 4444 4646 5050 5060 5555 6325 9292 10100 11110 11615 12650 22220 23230 25300 25553 27775 46460 51106 55550 58075 102212 111100 116150 127765 232300 255530 511060 638825 1277650 2555300 4343917 8687834 17375668 21719585 43439170 47783087 86878340 95566174 99910091 108597925 191132348 199820182 217195850 238915435 399640364 434391700 438735617 477830870 499550455 877471234 955661740 999100910 1099011001 1194577175 1754942468 1998201820 2193678085 2198022002 2389154350 2497752275 4387356170 4396044004 4778308700 4826091787 4995504550 5495055005 8774712340 9652183574 9991009100 10090919191 10968390425 10990110010 19304367148 20181838382 21936780850 21980220020 24130458935 27475275025 40363676764 43873561700 48260917870 50454595955 54950550050 96521835740 100909191910 109901100100 111000111101 120652294675 201818383820 222000222202 241304589350 252272979775 444000444404 482609178700 504545959550 555000555505 1009091919100 1110001111010 2220002222020 2775002777525 5550005555050 11100011110100