Search a number
-
+
1010101050101 = 111329364337493
BaseRepresentation
bin11101011001011101011…
…01101101101011110101
310120120020200022221021202
432230232231231223311
5113022141332100401
62052011203022245
7132656150155463
oct16545655555365
93516220287252
101010101050101
1135a421789390
1214392096a985
1374337ba6770
1436c63b91833
151b41d43506b
hexeb2eb6daf5

1010101050101 has 32 divisors (see below), whose sum is σ = 1192625949312. Its totient is φ = 843408034560.

The previous prime is 1010101050073. The next prime is 1010101050107. The reversal of 1010101050101 is 1010501010101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1010101050101 is a prime.

It is a super-2 number, since 2×10101010501012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101050107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26922311 + ... + 26959803.

It is an arithmetic number, because the mean of its divisors is an integer number (37269560916).

Almost surely, 21010101050101 is an apocalyptic number.

1010101050101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010101050101 is a deficient number, since it is larger than the sum of its proper divisors (182524899211).

1010101050101 is a wasteful number, since it uses less digits than its factorization.

1010101050101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38453.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 1010101050101 its reverse (1010501010101), we get a palindrome (2020602060202).

The spelling of 1010101050101 in words is "one trillion, ten billion, one hundred one million, fifty thousand, one hundred one".

Divisors: 1 11 13 143 293 643 3223 3809 7073 8359 37493 41899 91949 188399 412423 487409 2072389 2449187 5361499 10985449 24107999 26941057 120839939 142810837 265187989 313403987 1570919207 3447443857 7063643707 77700080777 91827368191 1010101050101