Search a number
-
+
1010910011111 = 7112131013732437
BaseRepresentation
bin11101011010111101110…
…11101001111011100111
310120122100001112102011122
432231132323221323213
5113030320430323421
62052223341524155
7133015202213420
oct16553673517347
93518301472148
101010910011111
1135a7a738a800
12143b0787365b
1374436676310
1436cdd3b0647
151b46947c2ab
hexeb5eee9ee7

1010910011111 has 96 divisors (see below), whose sum is σ = 1385399858304. Its totient is φ = 717704064000.

The previous prime is 1010910011101. The next prime is 1010910011131. The reversal of 1010910011111 is 1111100190101.

It is not a de Polignac number, because 1010910011111 - 222 = 1010905816807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010910011111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010910011101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414816185 + ... + 414818621.

It is an arithmetic number, because the mean of its divisors is an integer number (14431248524).

Almost surely, 21010910011111 is an apocalyptic number.

1010910011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010910011111 is a deficient number, since it is larger than the sum of its proper divisors (374489847193).

1010910011111 is a wasteful number, since it uses less digits than its factorization.

1010910011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 1010910011111 in words is "one trillion, ten billion, nine hundred ten million, eleven thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 101 121 143 373 707 847 1001 1111 1313 1573 2437 2611 4103 4849 7777 9191 11011 12221 14443 17059 26807 28721 31681 33943 37673 45133 53339 85547 101101 158873 187649 221767 246137 263711 294877 315931 348491 373373 414403 489749 586729 909001 1112111 1722959 2064139 2439437 2707507 2900821 3199781 3428243 3833401 4107103 4558433 5387239 6363007 9999011 11817013 18952549 22398467 26833807 29782577 31909031 35197591 37710673 59259629 69993077 82719091 91809101 109989121 129987143 208478039 246383137 387173501 414817403 642663707 769923847 909910001 1009900111 1193518313 1429858573 2710214507 7069300777 8354628191 10009010011 11108901221 13128701443 77762308547 91900910101 144415715873 1010910011111