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11112001001000 = 235330776147563
BaseRepresentation
bin1010000110110011011011…
…0111110101011000101000
31110100022000110022001000122
42201230312313311120220
52424024334224013000
635344441025422412
72224546513035044
oct241546667653050
943308013261018
1011112001001000
1135a463396a759
1212b56b679aa08
13627b1b358b03
142a5b763d5024
151440ae2b1085
hexa1b36df5628

11112001001000 has 128 divisors (see below), whose sum is σ = 26121608472960. Its totient is φ = 4424407488000.

The previous prime is 11112001000999. The next prime is 11112001001009. The reversal of 11112001001000 is 10010021111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11112001001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233603219 + ... + 233650781.

It is an arithmetic number, because the mean of its divisors is an integer number (204075066195).

Almost surely, 211112001001000 is an apocalyptic number.

11112001001000 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 11112001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060804236480).

11112001001000 is an abundant number, since it is smaller than the sum of its proper divisors (15009607471960).

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

11112001001000 is a wasteful number, since it uses less digits than its factorization.

11112001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48652 (or 48638 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11112001001000 its reverse (10010021111), we get a palindrome (11122011022111).

The spelling of 11112001001000 in words is "eleven trillion, one hundred twelve billion, one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 500 614 761 1000 1228 1522 1535 2456 3044 3070 3805 6088 6140 7610 7675 12280 15220 15350 19025 30440 30700 38050 38375 47563 61400 76100 76750 95125 95126 152200 153500 190250 190252 233627 237815 307000 380500 380504 467254 475630 761000 934508 951260 1168135 1189075 1869016 1902520 2336270 2378150 4672540 4756300 5840675 5945375 9345080 9512600 11681350 11890750 14601841 23362700 23781500 29203375 29203682 36195443 46725400 47563000 58406750 58407364 72390886 73009205 116813500 116814728 144781772 146018410 180977215 233627000 289563544 292036820 361954430 365046025 584073640 723908860 730092050 904886075 1447817720 1460184100 1809772150 1825230125 2920368200 3619544300 3650460250 4524430375 7239088600 7300920500 9048860750 11112001001 14601841000 18097721500 22224002002 36195443000 44448004004 55560005005 88896008008 111120010010 222240020020 277800025025 444480040040 555600050050 1111200100100 1389000125125 2222400200200 2778000250250 5556000500500 11112001001000