Search a number
-
+
1101103313112 = 2332116612103301
BaseRepresentation
bin10000000001011110110…
…111110011000011011000
310220021010210010212210100
4100001132313303003120
5121020024422004422
62201501225215400
7142360236506565
oct20013667630330
93807123125710
101101103313112
11394a80129510
12159499331560
137caab548c7a
143b417c2986c
151d99778d7ac
hex1005edf30d8

1101103313112 has 96 divisors (see below), whose sum is σ = 3258183062160. Its totient is φ = 333162720000.

The previous prime is 1101103313027. The next prime is 1101103313137. The reversal of 1101103313112 is 2113133011011.

1101103313112 is a `hidden beast` number, since 1 + 10 + 1 + 10 + 331 + 311 + 2 = 666.

It is a super-2 number, since 2×11011033131122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 528139 + ... + 1575162.

Almost surely, 21101103313112 is an apocalyptic number.

1101103313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101103313112 is an abundant number, since it is smaller than the sum of its proper divisors (2157079749048).

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

1101103313112 is a wasteful number, since it uses less digits than its factorization.

1101103313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103985 (or 2103978 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1101103313112 its reverse (2113133011011), we get a palindrome (3214236324123).

The spelling of 1101103313112 in words is "one trillion, one hundred one billion, one hundred three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 661 792 1322 1983 2644 3966 5288 5949 7271 7932 11898 14542 15864 21813 23796 29084 43626 47592 58168 65439 87252 130878 174504 261756 523512 2103301 4206602 6309903 8413204 12619806 16826408 18929709 23136311 25239612 37859418 46272622 50479224 69408933 75718836 92545244 138817866 151437672 185090488 208226799 277635732 416453598 555271464 832907196 1390281961 1665814392 2780563922 4170845883 5561127844 8341691766 11122255688 12512537649 15293101571 16683383532 25025075298 30586203142 33366767064 45879304713 50050150596 61172406284 91758609426 100100301192 122344812568 137637914139 183517218852 275275828278 367034437704 550551656556 1101103313112