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11012100001120 = 255114847599281
BaseRepresentation
bin1010000000111111010001…
…0011110000110101100000
31102222202011011221102102001
42200033310103300311200
52420410240100013440
635230520000333344
72214412050405451
oct240176423606540
942882134842361
1011012100001120
113566229402939
12129a276014254
1361b58a1cca2a
142a0dba585128
151416b3aceb9a
hexa03f44f0d60

11012100001120 has 48 divisors (see below), whose sum is σ = 26016356193408. Its totient is φ = 4404794296320.

The previous prime is 11012100001099. The next prime is 11012100001141. The reversal of 11012100001120 is 2110000121011.

It is an interprime number because it is at equal distance from previous prime (11012100001099) and next prime (11012100001141).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11012100001097 and 11012100001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18075880 + ... + 18675160.

It is an arithmetic number, because the mean of its divisors is an integer number (542007420696).

Almost surely, 211012100001120 is an apocalyptic number.

11012100001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012100001120 is an abundant number, since it is smaller than the sum of its proper divisors (15004256192288).

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

11012100001120 is a wasteful number, since it uses less digits than its factorization.

11012100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714143 (or 714135 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11012100001120 its reverse (2110000121011), we get a palindrome (13122100122131).

The spelling of 11012100001120 in words is "eleven trillion, twelve billion, one hundred million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 114847 229694 459388 574235 599281 918776 1148470 1198562 1837552 2296940 2397124 2996405 3675104 4593880 4794248 5992810 9187760 9588496 11985620 18375520 19176992 23971240 47942480 95884960 68825625007 137651250014 275302500028 344128125035 550605000056 688256250070 1101210000112 1376512500140 2202420000224 2753025000280 5506050000560 11012100001120