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10343412204 = 22317194336163
BaseRepresentation
bin10011010001000001…
…11111000111101100
3222200211221210002220
421220200333013230
5132140403142304
64430211115340
7514214360466
oct115040770754
928624853086
1010343412204
11442864a754
122007ba2b50
13c8aba7c68
147019d7136
154080e4ad9
hex26883f1ec

10343412204 has 96 divisors (see below), whose sum is σ = 26965774080. Its totient is φ = 3066605568.

The previous prime is 10343412193. The next prime is 10343412217. The reversal of 10343412204 is 40221434301.

10343412204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103434122042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675227 + ... + 1681389.

It is an arithmetic number, because the mean of its divisors is an integer number (280893480).

Almost surely, 210343412204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343412204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482887040).

10343412204 is an abundant number, since it is smaller than the sum of its proper divisors (16622361876).

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

10343412204 is a wasteful number, since it uses less digits than its factorization.

10343412204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10343412204 its reverse (40221434301), we get a palindrome (50564846505).

The spelling of 10343412204 in words is "ten billion, three hundred forty-three million, four hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 433 646 866 969 1292 1299 1732 1938 2598 3876 5196 6163 7361 8227 12326 14722 16454 18489 22083 24652 24681 29444 32908 36978 44166 49362 73956 88332 98724 104771 117097 139859 209542 234194 279718 314313 351291 419084 419577 468388 559436 628626 702582 839154 1257252 1405164 1678308 1990649 2668579 3981298 5337158 5971947 7962596 8005737 10674316 11943894 16011474 23887788 32022948 45365843 50703001 90731686 101406002 136097529 152109003 181463372 202812004 272195058 304218006 544390116 608436012 861951017 1723902034 2585853051 3447804068 5171706102 10343412204