Search a number
-
+
1011101101010 = 2571113109926689
BaseRepresentation
bin11101011011010100101…
…00100110101111010010
310120122211101002210020022
432231222110212233102
5113031213340213020
62052254325343442
7133023012361010
oct16555224465722
93518741083208
101011101101010
1135a895237440
12143b5b867b82
1374467130b70
1436d1a9138b0
151b47b126625
hexeb6a526bd2

1011101101010 has 128 divisors (see below), whose sum is σ = 2466033292800. Its totient is φ = 288237035520.

The previous prime is 1011101101007. The next prime is 1011101101057. The reversal of 1011101101010 is 101011011101.

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, 627746 + ... + 1554434.

It is an arithmetic number, because the mean of its divisors is an integer number (19265885100).

Almost surely, 21011101101010 is an apocalyptic number.

1011101101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011101101010 is an abundant number, since it is smaller than the sum of its proper divisors (1454932191790).

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

1011101101010 is a wasteful number, since it uses less digits than its factorization.

1011101101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926836.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011101101010 its reverse (101011011101), we get a palindrome (1112112112111).

It can be divided in two parts, 1011101 and 101010, that added together give a palindrome (1112111).

The spelling of 1011101101010 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 109 110 130 143 154 182 218 286 385 455 545 715 763 770 910 1001 1090 1199 1417 1430 1526 2002 2398 2834 3815 5005 5995 7085 7630 8393 9919 10010 11990 14170 15587 16786 19838 31174 41965 49595 77935 83930 99190 109109 155870 218218 545545 926689 1091090 1853378 4633445 6486823 9266890 10193579 12046957 12973646 20387158 24093914 32434115 50967895 60234785 64868230 71355053 84328699 101009101 101935790 120469570 132516527 142710106 168657398 202018202 265033054 356775265 421643495 505045505 662582635 707063707 713550530 843286990 927615689 1010091010 1111100111 1313118313 1325165270 1414127414 1855231378 2222200222 2626236626 3535318535 4638078445 5555500555 6565591565 7070637070 7777700777 9191828191 9276156890 11111001110 13131183130 14444301443 15555401554 18383656382 28888602886 38888503885 45959140955 72221507215 77777007770 91918281910 101110110101 144443014430 202220220202 505550550505 1011101101010