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1101122000010 = 232567931801073
BaseRepresentation
bin10000000001011111111…
…111000101010010001010
310220021012002022021101200
4100001133333011102022
5121020044213000020
62201503133525030
7142360554366414
oct20013777052212
93807162267350
101101122000010
11394a8a73222a
121594a3643776
137cab238c7c6
143b41a4d19b4
151d999230590
hex1005ffc548a

1101122000010 has 48 divisors (see below), whose sum is σ = 2863340240904. Its totient is φ = 293589144576.

The previous prime is 1101122000009. The next prime is 1101122000047. The reversal of 1101122000010 is 100002211011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 765710752401 + 335411247609 = 875049^2 + 579147^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101121999956 and 1101122000001.

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 23 ways as a sum of consecutive naturals, for example, 289167 + ... + 1511906.

Almost surely, 21101122000010 is an apocalyptic number.

1101122000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101122000010 is an abundant number, since it is smaller than the sum of its proper divisors (1762218240894).

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

1101122000010 is a wasteful number, since it uses less digits than its factorization.

1101122000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807879 (or 1807876 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101122000010 its reverse (100002211011), we get a palindrome (1201124211021).

The spelling of 1101122000010 in words is "one trillion, one hundred one billion, one hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6793 13586 20379 33965 40758 61137 67930 101895 122274 203790 305685 611370 1801073 3602146 5403219 9005365 10806438 16209657 18010730 27016095 32419314 54032190 81048285 162096570 12234688889 24469377778 36704066667 61173444445 73408133334 110112200001 122346888890 183520333335 220224400002 367040666670 550561000005 1101122000010