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1000100664 = 233213890287
BaseRepresentation
bin111011100111000…
…101001100111000
32120200212101012100
4323213011030320
54022011210124
6243123343400
733532500243
oct7347051470
92520771170
101000100664
11473592482
1223ab21b60
1312c273c54
1496b7625a
155cc011c9
hex3b9c5338

1000100664 has 24 divisors (see below), whose sum is σ = 2708606160. Its totient is φ = 333366864.

The previous prime is 1000100653. The next prime is 1000100677. The reversal of 1000100664 is 4660010001.

1000100664 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 0 + 664 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6945072 + ... + 6945215.

It is an arithmetic number, because the mean of its divisors is an integer number (112858590).

Almost surely, 21000100664 is an apocalyptic number.

It is an amenable number.

1000100664 is an abundant number, since it is smaller than the sum of its proper divisors (1708505496).

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

1000100664 is a wasteful number, since it uses less digits than its factorization.

1000100664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890299 (or 13890292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1000100664 is about 31624.3681992226. The cubic root of 1000100664 is about 1000.0335535408.

Adding to 1000100664 its reverse (4660010001), we get a palindrome (5660110665).

The spelling of 1000100664 in words is "one billion, one hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13890287 27780574 41670861 55561148 83341722 111122296 125012583 166683444 250025166 333366888 500050332 1000100664