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31630004001 = 323794984997
BaseRepresentation
bin11101011101010010…
…111000111100100001
310000122100102200111200
4131131102320330201
51004234240112001
622310340431413
72166551412051
oct353522707441
9100570380450
1031630004001
1112461349182
1261689a8569
132ca0ca48cb
141760b0d561
15c51ca3086
hex75d4b8f21

31630004001 has 12 divisors (see below), whose sum is σ = 46922589012. Its totient is φ = 20516759136.

The previous prime is 31630003913. The next prime is 31630004047. The reversal of 31630004001 is 10040003613.

31630004001 is a `hidden beast` number, since 31 + 630 + 0 + 0 + 4 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23677823376 + 7952180625 = 153876^2 + 89175^2 .

It is not a de Polignac number, because 31630004001 - 214 = 31629987617 is a prime.

It is a super-3 number, since 3×316300040013 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31630004051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47492166 + ... + 47492831.

It is an arithmetic number, because the mean of its divisors is an integer number (3910215751).

Almost surely, 231630004001 is an apocalyptic number.

It is an amenable number.

31630004001 is a deficient number, since it is larger than the sum of its proper divisors (15292585011).

31630004001 is a wasteful number, since it uses less digits than its factorization.

31630004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94985040 (or 94985037 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31630004001 its reverse (10040003613), we get a palindrome (41670007614).

The spelling of 31630004001 in words is "thirty-one billion, six hundred thirty million, four thousand, one".

Divisors: 1 3 9 37 111 333 94984997 284954991 854864973 3514444889 10543334667 31630004001