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11000110100 = 22527177911701
BaseRepresentation
bin10100011111010100…
…00101110000010100
31001101121122111021012
422033222011300110
5140012012010400
65015310311352
7536410251560
oct121752056024
931347574235
1011000110100
114735303591
12216bab8558
131063c657b5
14764cdc6a0
15445ab1d35
hex28fa85c14

11000110100 has 144 divisors (see below), whose sum is σ = 29253127680. Its totient is φ = 3504384000.

The previous prime is 11000110067. The next prime is 11000110103. The reversal of 11000110100 is 101100011.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000110103) 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, 934250 + ... + 945950.

It is an arithmetic number, because the mean of its divisors is an integer number (203146720).

Almost surely, 211000110100 is an apocalyptic number.

11000110100 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 11000110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626563840).

11000110100 is an abundant number, since it is smaller than the sum of its proper divisors (18253017580).

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

11000110100 is a wasteful number, since it uses less digits than its factorization.

11000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11818 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11000110100 its reverse (101100011), we get a palindrome (11101210111).

The spelling of 11000110100 in words is "eleven billion, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 79 85 100 119 140 158 170 175 238 316 340 350 395 425 476 553 595 700 790 850 1106 1190 1343 1580 1700 1975 2212 2380 2686 2765 2975 3950 5372 5530 5950 6715 7900 9401 11060 11701 11900 13430 13825 18802 23402 26860 27650 33575 37604 46804 47005 55300 58505 67150 81907 94010 117010 134300 163814 188020 198917 234020 235025 292525 327628 397834 409535 470050 585050 795668 819070 924379 940100 994585 1170100 1392419 1638140 1848758 1989170 2047675 2784838 3697516 3978340 4095350 4621895 4972925 5569676 6470653 6962095 8190700 9243790 9945850 12941306 13924190 15714443 18487580 19891700 23109475 25882612 27848380 31428886 32353265 34810475 46218950 62857772 64706530 69620950 78572215 92437900 110001101 129413060 139241900 157144430 161766325 220002202 314288860 323532650 392861075 440004404 550005505 647065300 785722150 1100011010 1571444300 2200022020 2750027525 5500055050 11000110100