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10002001110010 = 2571383271148847
BaseRepresentation
bin1001000110001100010110…
…1110010010001111111010
31022102011220122200011200221
42101203011232102033322
52302333044241010020
633134504511450254
72051422624451260
oct221430556221772
938364818604627
1010002001110010
113206908969648
121156555b2698a
13577252900ba0
14268156bd6430
151252959746aa
hex918c5b923fa

10002001110010 has 128 divisors (see below), whose sum is σ = 22433977810944. Its totient is φ = 3126112738560.

The previous prime is 10002001109999. The next prime is 10002001110053. The reversal of 10002001110010 is 1001110020001.

10002001110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10002001109975 and 10002001110002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204737407 + ... + 204786253.

It is an arithmetic number, because the mean of its divisors is an integer number (175265451648).

Almost surely, 210002001110010 is an apocalyptic number.

10002001110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002001110010 is an abundant number, since it is smaller than the sum of its proper divisors (12431976700934).

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

10002001110010 is a wasteful number, since it uses less digits than its factorization.

10002001110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51668.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10002001110010 its reverse (1001110020001), we get a palindrome (11003111130011).

The spelling of 10002001110010 in words is "ten trillion, two billion, one million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 83 91 130 166 182 415 455 581 830 910 1079 1162 2158 2711 2905 5395 5422 5810 7553 10790 13555 15106 18977 27110 35243 37765 37954 48847 70486 75530 94885 97694 176215 189770 225013 244235 246701 341929 352430 450026 488470 493402 635011 683858 1125065 1233505 1270022 1575091 1709645 2250130 2467010 2925169 3150182 3175055 3419290 4054301 4445077 5850338 6350110 7875455 8108602 8890154 14625845 15750910 20271505 20476183 22225385 28380107 29251690 40543010 40952366 44450770 52705913 56760214 102380915 105411826 132424217 141900535 204761830 263529565 264848434 283801070 368941391 527059130 662121085 737882782 926969519 1324242170 1721514821 1844706955 1853939038 3443029642 3689413910 4634847595 8607574105 9269695190 10991210011 12050603747 17215148210 21982420022 24101207494 54956050055 60253018735 76938470077 109912100110 120506037470 142885730143 153876940154 285771460286 384692350385 714428650715 769384700770 1000200111001 1428857301430 2000400222002 5001000555005 10002001110010