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34023201003 = 32113111086087
BaseRepresentation
bin11111101011111100…
…001101100011101011
310020211010122200121200
4133223330031203223
51024134414413003
623344031135243
72313061302561
oct375374154353
9106733580550
1034023201003
111347a234540
126716374523
133292a4abcc
14190a8bba31
15d41e336a3
hex7ebf0d8eb

34023201003 has 24 divisors (see below), whose sum is σ = 55341751296. Its totient is φ = 19954954800.

The previous prime is 34023200989. The next prime is 34023201097. The reversal of 34023201003 is 30010232043.

34023201003 is a `hidden beast` number, since 340 + 2 + 320 + 1 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 34023201003 - 220 = 34022152427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34023201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5539975 + ... + 5546112.

It is an arithmetic number, because the mean of its divisors is an integer number (2305906304).

Almost surely, 234023201003 is an apocalyptic number.

34023201003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34023201003 is a deficient number, since it is larger than the sum of its proper divisors (21318550293).

34023201003 is a wasteful number, since it uses less digits than its factorization.

34023201003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11086135 (or 11086132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34023201003 its reverse (30010232043), we get a palindrome (64033433046).

The spelling of 34023201003 in words is "thirty-four billion, twenty-three million, two hundred one thousand, three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 11086087 33258261 99774783 121946957 343668697 365840871 1031006091 1097522613 3093018273 3780355667 11341067001 34023201003