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1100100996 = 223231099829
BaseRepresentation
bin100000110010010…
…0011010110000100
32211200000220212100
41001210203112010
54223111212441
6301054552100
736155463351
oct10144432604
92750026770
101100100996
11514a84185
12268508630
13146bb7947
14a6167628
15668a5cb6
hex41923584

1100100996 has 36 divisors (see below), whose sum is σ = 2781988300. Its totient is φ = 366545088.

The previous prime is 1100100979. The next prime is 1100100997. The reversal of 1100100996 is 6990010011.

It can be written as a sum of positive squares in 2 ways, for example, as 621804096 + 478296900 = 24936^2 + 21870^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1100100997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107010 + ... + 116838.

Almost surely, 21100100996 is an apocalyptic number.

It is an amenable number.

1100100996 is an abundant number, since it is smaller than the sum of its proper divisors (1681887304).

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

1100100996 is a wasteful number, since it uses less digits than its factorization.

1100100996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1100100996 is about 33167.7704405949. The cubic root of 1100100996 is about 1032.3117072661.

The spelling of 1100100996 in words is "one billion, one hundred million, one hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3109 6218 9327 9829 12436 18654 19658 27981 29487 37308 39316 55962 58974 88461 111924 117948 176922 353844 30558361 61116722 91675083 122233444 183350166 275025249 366700332 550050498 1100100996