Search a number
-
+
1011010101010 = 257132751113797
BaseRepresentation
bin11101011011001001110…
…01011101111100010010
310120122121000212111200221
432231210321131330102
5113031022041213020
62052241315103254
7133020526031620
oct16554471357422
93518530774627
101011010101010
1135a848932828
12143b352a1b2a
137445131ba00
1436d0c7c6510
151b47314d6aa
hexeb64e5df12

1011010101010 has 96 divisors (see below), whose sum is σ = 2255101281792. Its totient is φ = 319539168000.

The previous prime is 1011010100897. The next prime is 1011010101019. The reversal of 1011010101010 is 101010101101.

It is a happy number.

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

1011010101010 is a modest number, since divided by 10101010 gives 10110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1011010100984 and 1011010101002.

It is not an unprimeable number, because it can be changed into a prime (1011010101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8827432 + ... + 8941228.

It is an arithmetic number, because the mean of its divisors is an integer number (23490638352).

Almost surely, 21011010101010 is an apocalyptic number.

1011010101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011010101010 is an abundant number, since it is smaller than the sum of its proper divisors (1244091180782).

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

1011010101010 is a wasteful number, since it uses less digits than its factorization.

1011010101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114588 (or 114575 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1011010101010 its reverse (101010101101), we get a palindrome (1112020202111).

Subtracting from 1011010101010 its reverse (101010101101), we obtain a palindrome (909999999909).

The spelling of 1011010101010 in words is "one trillion, eleven billion, ten million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 751 845 910 1183 1502 1690 2366 3755 5257 5915 7510 9763 10514 11830 19526 26285 48815 52570 68341 97630 113797 126919 136682 227594 253838 341705 568985 634595 683410 796579 888433 1137970 1269190 1479361 1593158 1776866 2958722 3982895 4442165 7396805 7965790 8884330 10355527 14793610 19231693 20711054 38463386 51777635 85461547 96158465 103555270 134621851 170923094 192316930 269243702 427307735 598230829 673109255 854615470 1111000111 1196461658 1346218510 2222000222 2991154145 5555000555 5982308290 7777000777 11110001110 14443001443 15554001554 28886002886 38885003885 72215007215 77770007770 101101010101 144430014430 202202020202 505505050505 1011010101010