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1005010104 = 233743139121
BaseRepresentation
bin111011111001110…
…011110010111000
32121001002210200110
4323321303302320
54024240310404
6243420504320
733622305420
oct7371636270
92531083613
101005010104
11476335a6a
122406ab0a0
131302a2747
1497693480
155d370b89
hex3be73cb8

1005010104 has 64 divisors (see below), whose sum is σ = 2938256640. Its totient is φ = 280465920.

The previous prime is 1005010099. The next prime is 1005010121. The reversal of 1005010104 is 4010105001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1005010104.

It is a congruent number.

It is an unprimeable number.

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, 62337 + ... + 76784.

It is an arithmetic number, because the mean of its divisors is an integer number (45910260).

Almost surely, 21005010104 is an apocalyptic number.

1005010104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005010104 is an abundant number, since it is smaller than the sum of its proper divisors (1933246536).

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

1005010104 is a wasteful number, since it uses less digits than its factorization.

1005010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139180 (or 139176 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1005010104 is about 31701.8943282574. The cubic root of 1005010104 is about 1001.6672533880.

Adding to 1005010104 its reverse (4010105001), we get a palindrome (5015115105).

The spelling of 1005010104 in words is "one billion, five million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 139121 278242 417363 556484 834726 973847 1112968 1669452 1947694 2921541 3338904 3895388 5843082 5982203 7790776 11686164 11964406 17946609 23372328 23928812 35893218 41875421 47857624 71786436 83750842 125626263 143572872 167501684 251252526 335003368 502505052 1005010104