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10011100001100 = 22352113781990991
BaseRepresentation
bin1001000110101110010000…
…0011110011001101001100
31022110001101202211201210020
42101223210003303031030
52303010213100013400
633143011424342140
72052164250655452
oct221534403631514
938401352751706
1010011100001100
11320a757a64150
121158275174950
135780729c7003
1426877b3d09d2
151256296872a0
hex91ae40f334c

10011100001100 has 144 divisors (see below), whose sum is σ = 32452690561536. Its totient is φ = 2361340512000.

The previous prime is 10011100001053. The next prime is 10011100001117. The reversal of 10011100001100 is 110000111001.

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, 40873396 + ... + 41117595.

Almost surely, 210011100001100 is an apocalyptic number.

10011100001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011100001100 is an abundant number, since it is smaller than the sum of its proper divisors (22441590560436).

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

10011100001100 is a wasteful number, since it uses less digits than its factorization.

10011100001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81991056 (or 81991049 counting only the distinct ones).

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

Adding to 10011100001100 its reverse (110000111001), we get a palindrome (10121100112101).

The spelling of 10011100001100 in words is "ten trillion, eleven billion, one hundred million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 81990991 163981982 245972973 327963964 409954955 491945946 819909910 901900901 983891892 1229864865 1639819820 1803801802 2049774775 2459729730 2705702703 3033666667 3607603604 4099549550 4509504505 4919459460 5411405406 6067333334 6149324325 8199099100 9019009010 9101000001 10822810812 12134666668 12298648650 13528513515 15168333335 18038018020 18202000002 22547522525 24597297300 27057027030 30336666670 33370333337 36404000004 45095045050 45505000005 54114054060 60673333340 66740666674 67642567575 75841666675 90190090100 91010000010 100111000011 133481333348 135285135150 151683333350 166851666685 182020000020 200222000022 227525000025 270570270300 303366666700 333703333370 400444000044 455050000050 500555000055 667406666740 834258333425 910100000100 1001110000110 1668516666850 2002220000220 2502775000275 3337033333700 5005550000550 10011100001100