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10004329143 = 332912776921
BaseRepresentation
bin10010101000100110…
…11111001010110111
3221211012220120121000
421110103133022313
5130442102013033
64332415254343
7502626252234
oct112423371267
927735816530
1010004329143
114274201616
121b3251a3b3
13c35874ab3
146ac96c78b
153d8465a13
hex2544df2b7

10004329143 has 16 divisors (see below), whose sum is σ = 15332306400. Its totient is φ = 6439567680.

The previous prime is 10004329123. The next prime is 10004329147. The reversal of 10004329143 is 34192340001.

10004329143 is a `hidden beast` number, since 100 + 0 + 432 + 91 + 43 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10004329143 is a prime.

It is a super-2 number, since 2×100043291432 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004329147) 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 15 ways as a sum of consecutive naturals, for example, 6387678 + ... + 6389243.

It is an arithmetic number, because the mean of its divisors is an integer number (958269150).

Almost surely, 210004329143 is an apocalyptic number.

10004329143 is a deficient number, since it is larger than the sum of its proper divisors (5327977257).

10004329143 is a wasteful number, since it uses less digits than its factorization.

10004329143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776959 (or 12776953 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10004329143 its reverse (34192340001), we get a palindrome (44196669144).

The spelling of 10004329143 in words is "ten billion, four million, three hundred twenty-nine thousand, one hundred forty-three".

Divisors: 1 3 9 27 29 87 261 783 12776921 38330763 114992289 344976867 370530709 1111592127 3334776381 10004329143