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11011100000100 = 22352371732157271
BaseRepresentation
bin1010000000111011100010…
…1101000011111101100100
31102222122120111021002220020
42200032320231003331210
52420401213100000400
635230232435035140
72214345215501544
oct240167055037544
942878514232806
1011011100000100
113565865989312
12129a03713bab0
1361b45ac92255
142a0d23837324
15141655ded2a0
hexa03b8b43f64

11011100000100 has 144 divisors (see below), whose sum is σ = 32722291222656. Its totient is φ = 2856719232000.

The previous prime is 11011100000071. The next prime is 11011100000111. The reversal of 11011100000100 is 100000111011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192234465 + ... + 192291735.

Almost surely, 211011100000100 is an apocalyptic number.

11011100000100 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 11011100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361145611328).

11011100000100 is an abundant number, since it is smaller than the sum of its proper divisors (21711191222556).

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

11011100000100 is a wasteful number, since it uses less digits than its factorization.

11011100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74646 (or 74639 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11011100000100 its reverse (100000111011), we get a palindrome (11111100111111).

The spelling of 11011100000100 in words is "eleven trillion, eleven billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 17321 34642 51963 57271 69284 86605 103926 114542 171813 173210 207852 229084 259815 286355 343626 346420 433025 519630 572710 640877 687252 859065 866050 1039260 1145420 1281754 1299075 1431775 1718130 1732100 1922631 2119027 2563508 2598150 2863550 3204385 3436260 3845262 4238054 4295325 5196300 5727100 6357081 6408770 7690524 8476108 8590650 9613155 10595135 12714162 12817540 16021925 17181300 19226310 21190270 25428324 31785405 32043850 38452620 42380540 48065775 52975675 63570810 64087700 96131550 105951350 127141620 158927025 192263100 211902700 317854050 635708100 991990991 1983981982 2975972973 3967963964 4959954955 5951945946 9919909910 11903891892 14879864865 19839819820 24799774775 29759729730 36703666667 49599549550 59519459460 73407333334 74399324325 99199099100 110111000001 146814666668 148798648650 183518333335 220222000002 297597297300 367036666670 440444000004 550555000005 734073333340 917591666675 1101110000010 1835183333350 2202220000020 2752775000025 3670366666700 5505550000050 11011100000100