Search a number
-
+
1010231032122 = 232134317226633
BaseRepresentation
bin11101011001101100111…
…01100011100100111010
310120120120201220201002200
432230312131203210322
5113022423121011442
62052032125011030
7132662316043014
oct16546635434472
93516521821080
101010231032122
1135a489098844
121439583b3a76
1374358ab6cc0
1436c771491b4
151b429a5d34c
hexeb3676393a

1010231032122 has 24 divisors (see below), whose sum is σ = 2357205742164. Its totient is φ = 310840317504.

The previous prime is 1010231032087. The next prime is 1010231032171. The reversal of 1010231032122 is 2212301320101.

1010231032122 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 310 + 321 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 844581218121 + 165649814001 = 919011^2 + 407001^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010231032095 and 1010231032104.

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 11 ways as a sum of consecutive naturals, for example, 2158613083 + ... + 2158613550.

Almost surely, 21010231032122 is an apocalyptic number.

1010231032122 is an abundant number, since it is smaller than the sum of its proper divisors (1346974710042).

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

1010231032122 is a wasteful number, since it uses less digits than its factorization.

1010231032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317226654 (or 4317226651 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010231032122 its reverse (2212301320101), we get a palindrome (3222532352223).

The spelling of 1010231032122 in words is "one trillion, ten billion, two hundred thirty-one million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4317226633 8634453266 12951679899 25903359798 38855039697 56123946229 77710079394 112247892458 168371838687 336743677374 505115516061 1010231032122