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101032103322 = 23241136899869
BaseRepresentation
bin101111000010111111…
…0111000110110011010
3100122210002201121211200
41132011332320312122
53123403204301242
6114225152335030
710204445465043
oct1360576706632
9318702647750
10101032103322
1139935a96657
12176b7544476
1396b15aa077
144c661678ca
152964b5d04c
hex1785fb8d9a

101032103322 has 24 divisors (see below), whose sum is σ = 224241987060. Its totient is φ = 32855968320.

The previous prime is 101032103311. The next prime is 101032103323. The reversal of 101032103322 is 223301230101.

101032103322 is a `hidden beast` number, since 1 + 0 + 10 + 321 + 0 + 332 + 2 = 666.

101032103322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99552239361 + 1479863961 = 315519^2 + 38469^2 .

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 = 101032103295 and 101032103304.

It is not an unprimeable number, because it can be changed into a prime (101032103323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68449197 + ... + 68450672.

Almost surely, 2101032103322 is an apocalyptic number.

101032103322 is an abundant number, since it is smaller than the sum of its proper divisors (123209883738).

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

101032103322 is a wasteful number, since it uses less digits than its factorization.

101032103322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136899918 (or 136899915 counting only the distinct ones).

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

Adding to 101032103322 its reverse (223301230101), we get a palindrome (324333333423).

The spelling of 101032103322 in words is "one hundred one billion, thirty-two million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 136899869 273799738 410699607 821399214 1232098821 2464197642 5612894629 11225789258 16838683887 33677367774 50516051661 101032103322