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1101121000112 = 247171930437887
BaseRepresentation
bin10000000001011111111…
…011010001001010110000
310220021012000102110210102
4100001133323101022300
5121020043434000422
62201503100251532
7142360543033310
oct20013773211260
93807160373712
101101121000112
11394a8a109a71
121594a3240ba8
137cab20cc653
143b41a311440
151d9990d4192
hex1005fed12b0

1101121000112 has 80 divisors (see below), whose sum is σ = 2717494640640. Its totient is φ = 420773336064.

The previous prime is 1101121000081. The next prime is 1101121000127. The reversal of 1101121000112 is 2110001211011.

It is a super-2 number, since 2×11011210001122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101121000093 and 1101121000102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15182768 + ... + 15255119.

It is an arithmetic number, because the mean of its divisors is an integer number (33968683008).

Almost surely, 21101121000112 is an apocalyptic number.

It is an amenable number.

1101121000112 is an abundant number, since it is smaller than the sum of its proper divisors (1616373640528).

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

1101121000112 is a wasteful number, since it uses less digits than its factorization.

1101121000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30437938 (or 30437932 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1101121000112 its reverse (2110001211011), we get a palindrome (3211122211123).

The spelling of 1101121000112 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 9044 18088 36176 30437887 60875774 121751548 213065209 243503096 426130418 487006192 517444079 578319853 852260836 1034888158 1156639706 1704521672 2069776316 2313279412 3409043344 3622108553 4048238971 4139552632 4626558824 7244217106 8096477942 8279105264 9253117648 9831437501 14488434212 16192955884 19662875002 28976868424 32385911768 39325750004 57953736848 64771823536 68820062507 78651500008 137640125014 157303000016 275280250028 550560500056 1101121000112