Search a number
-
+
1011011000121 = 32414771821057
BaseRepresentation
bin11101011011001001111…
…00111001011100111001
310120122121002120012001100
432231210330321130321
5113031022304000441
62052241350242013
7133020536465133
oct16554474713471
93518532505040
101011011000121
1135a8493972a1
12143b35656309
1374451575025
1436d0c97c053
151b473279cb6
hexeb64f39739

1011011000121 has 48 divisors (see below), whose sum is σ = 1549316740608. Its totient is φ = 634512076800.

The previous prime is 1011011000071. The next prime is 1011011000123. The reversal of 1011011000121 is 1210001101101.

It is not a de Polignac number, because 1011011000121 - 26 = 1011011000057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1011011000123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820825 + ... + 1641881.

It is an arithmetic number, because the mean of its divisors is an integer number (32277432096).

Almost surely, 21011011000121 is an apocalyptic number.

It is an amenable number.

1011011000121 is a deficient number, since it is larger than the sum of its proper divisors (538305740487).

1011011000121 is a wasteful number, since it uses less digits than its factorization.

1011011000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821222 (or 821219 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011011000121 its reverse (1210001101101), we get a palindrome (2221012101222).

The spelling of 1011011000121 in words is "one trillion, eleven billion, eleven million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 41 47 71 123 141 213 369 423 639 1927 2911 3337 5781 8733 10011 17343 26199 30033 136817 410451 821057 1231353 2463171 7389513 33663337 38589679 58295047 100990011 115769037 174885141 302970033 347307111 524655423 1582176839 2390096927 2739867209 4746530517 7170290781 8219601627 14239591551 21510872343 24658804881 112334555569 337003666707 1011011000121