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11102011000 = 2353471991187
BaseRepresentation
bin10100101011011101…
…10011111001111000
31001122201101121000121
422111232303321320
5140214103323000
65033350343024
7542055352003
oct122556637170
931581347017
1011102011000
114787883203
12219a05aa74
13107c0c35a2
1477466653a
1544e9deb1a
hex295bb3e78

11102011000 has 128 divisors (see below), whose sum is σ = 26687232000. Its totient is φ = 4320835200.

The previous prime is 11102010991. The next prime is 11102011003. The reversal of 11102011000 is 11020111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9352407 + ... + 9353593.

It is an arithmetic number, because the mean of its divisors is an integer number (208494000).

Almost surely, 211102011000 is an apocalyptic number.

11102011000 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 11102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343616000).

11102011000 is an abundant number, since it is smaller than the sum of its proper divisors (15585221000).

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

11102011000 is a wasteful number, since it uses less digits than its factorization.

11102011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11102011000 its reverse (11020111), we get a palindrome (11113031111).

The spelling of 11102011000 in words is "eleven billion, one hundred two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 199 200 235 250 376 398 470 500 796 940 995 1000 1175 1187 1592 1880 1990 2350 2374 3980 4700 4748 4975 5875 5935 7960 9353 9400 9496 9950 11750 11870 18706 19900 23500 23740 24875 29675 37412 39800 46765 47000 47480 49750 55789 59350 74824 93530 99500 111578 118700 148375 187060 199000 223156 233825 236213 237400 278945 296750 374120 446312 467650 472426 557890 593500 935300 944852 1115780 1169125 1181065 1187000 1394725 1870600 1889704 2231560 2338250 2362130 2789450 4676500 4724260 5578900 5905325 6973625 9353000 9448520 11102011 11157800 11810650 13947250 22204022 23621300 27894500 29526625 44408044 47242600 55510055 55789000 59053250 88816088 111020110 118106500 222040220 236213000 277550275 444080440 555100550 1110201100 1387751375 2220402200 2775502750 5551005500 11102011000