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13011002004 = 223711131083167
BaseRepresentation
bin11000001111000010…
…00010001010010100
31020120202111101101010
430013201002022110
5203121304031004
65551022532220
7640265456310
oct140741021224
936522441333
1013011002004
11557740a420
122631437070
1312c4754670
148b5dd0b40
155123c6a89
hex307842294

13011002004 has 96 divisors (see below), whose sum is σ = 40761778176. Its totient is φ = 3119518080.

The previous prime is 13011001973. The next prime is 13011002023. The reversal of 13011002004 is 40020011031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529572 + ... + 553595.

It is an arithmetic number, because the mean of its divisors is an integer number (424601856).

Almost surely, 213011002004 is an apocalyptic number.

13011002004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13011002004 is an abundant number, since it is smaller than the sum of its proper divisors (27750776172).

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

13011002004 is a wasteful number, since it uses less digits than its factorization.

13011002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083205 (or 1083203 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13011002004 its reverse (40020011031), we get a palindrome (53031013035).

The spelling of 13011002004 in words is "thirteen billion, eleven million, two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1083167 2166334 3249501 4332668 6499002 7582169 11914837 12998004 14081171 15164338 22746507 23829674 28162342 30328676 35744511 42243513 45493014 47659348 56324684 71489022 83403859 84487026 90986028 98568197 142978044 154892881 166807718 168974052 197136394 250211577 295704591 309785762 333615436 394272788 464678643 500423154 591409182 619571524 929357286 1000846308 1084250167 1182818364 1858714572 2168500334 3252750501 4337000668 6505501002 13011002004