Search a number
-
+
1010032223031 = 33132877584681
BaseRepresentation
bin11101011001010101001…
…11001010001100110111
310120120001212211011022000
432230222213022030313
5113022021222114111
62052000303510343
7132654353145456
oct16545247121467
93516055734260
101010032223031
1135a396949607
121439018b83b3
1374326858aa0
1436c58996b9d
151b41738bc56
hexeb2a9ca337

1010032223031 has 16 divisors (see below), whose sum is σ = 1611447421920. Its totient is φ = 621558290880.

The previous prime is 1010032223021. The next prime is 1010032223059. The reversal of 1010032223031 is 1303222300101.

1010032223031 is a `hidden beast` number, since 10 + 100 + 322 + 230 + 3 + 1 = 666.

It is not a de Polignac number, because 1010032223031 - 29 = 1010032222519 is a prime.

It is a super-2 number, since 2×10100322230312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010032222995 and 1010032223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010032223021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438791990 + ... + 1438792691.

It is an arithmetic number, because the mean of its divisors is an integer number (100715463870).

Almost surely, 21010032223031 is an apocalyptic number.

1010032223031 is a deficient number, since it is larger than the sum of its proper divisors (601415198889).

1010032223031 is a wasteful number, since it uses less digits than its factorization.

1010032223031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877584703 (or 2877584697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1010032223031 its reverse (1303222300101), we get a palindrome (2313254523132).

The spelling of 1010032223031 in words is "one trillion, ten billion, thirty-two million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 351 2877584681 8632754043 25898262129 37408600853 77694786387 112225802559 336677407677 1010032223031