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11010100001100 = 22352371019820801
BaseRepresentation
bin1010000000110111110100…
…0110010111100101001100
31102222112222210120220011020
42200031331012113211030
52420342141100013400
635225545313354140
72214311353603554
oct240157506274514
942875883526136
1011010100001100
1135653a2466262
1212999b8268950
1361b32ba55675
142a0c6aaca164
151415e821c2a0
hexa037d19794c

11010100001100 has 144 divisors (see below), whose sum is σ = 33040791983136. Its totient is φ = 2828390400000.

The previous prime is 11010100001099. The next prime is 11010100001107. The reversal of 11010100001100 is 110000101011.

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 not an unprimeable number, because it can be changed into a prime (11010100001107) 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, 3789301 + ... + 6031500.

Almost surely, 211010100001100 is an apocalyptic number.

11010100001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010100001100 is an abundant number, since it is smaller than the sum of its proper divisors (22030691982036).

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

11010100001100 is a wasteful number, since it uses less digits than its factorization.

11010100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820956 (or 9820949 counting only the distinct ones).

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

Adding to 11010100001100 its reverse (110000101011), we get a palindrome (11120100102111).

The spelling of 11010100001100 in words is "eleven trillion, ten billion, one hundred million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 101 111 148 150 185 202 222 300 303 370 404 444 505 555 606 740 925 1010 1110 1212 1515 1850 2020 2220 2525 2775 3030 3700 3737 5050 5550 6060 7474 7575 10100 11100 11211 14948 15150 18685 22422 30300 37370 44844 56055 74740 93425 112110 186850 224220 280275 373700 560550 1121100 9820801 19641602 29462403 39283204 49104005 58924806 98208010 117849612 147312015 196416020 245520025 294624030 363369637 491040050 589248060 726739274 736560075 982080100 991900901 1090108911 1453478548 1473120150 1816848185 1983801802 2180217822 2946240300 2975702703 3633696370 3967603604 4360435644 4959504505 5450544555 5951405406 7267392740 9084240925 9919009010 10901089110 11902810812 14878513515 18168481850 19838018020 21802178220 24797522525 27252722775 29757027030 36336963700 36700333337 49595045050 54505445550 59514054060 73400666674 74392567575 99190090100 109010891100 110101000011 146801333348 148785135150 183501666685 220202000022 297570270300 367003333370 440404000044 550505000055 734006666740 917508333425 1101010000110 1835016666850 2202020000220 2752525000275 3670033333700 5505050000550 11010100001100