Search a number
-
+
1001110001022 = 23329639278417
BaseRepresentation
bin11101001000101101100…
…11100101010101111110
310112201001002002022122000
432210112303211111332
5112400233130013042
62043523101403130
7132220303414425
oct16442663452576
93481032068560
101001110001022
1135662855110a
121420318694a6
137353423b691
143664da2a2bc
151b093e2574c
hexe916ce557e

1001110001022 has 32 divisors (see below), whose sum is σ = 2301402304800. Its totient is φ = 322196321664.

The previous prime is 1001110000999. The next prime is 1001110001041. The reversal of 1001110001022 is 2201000111001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001110000995 and 1001110001013.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 319637643 + ... + 319640774.

It is an arithmetic number, because the mean of its divisors is an integer number (71918822025).

Almost surely, 21001110001022 is an apocalyptic number.

1001110001022 is an abundant number, since it is smaller than the sum of its proper divisors (1300292303778).

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

1001110001022 is a wasteful number, since it uses less digits than its factorization.

1001110001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639278457 (or 639278451 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001110001022 its reverse (2201000111001), we get a palindrome (3202110112023).

The spelling of 1001110001022 in words is "one trillion, one billion, one hundred ten million, one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 639278417 1278556834 1917835251 3835670502 5753505753 11507011506 17260517259 18539074093 34521034518 37078148186 55617222279 111234444558 166851666837 333703333674 500555000511 1001110001022