Search a number
-
+
101012232224 = 253123284737
BaseRepresentation
bin101111000010011001…
…1000101100000100000
3100122201201100001211002
41132010303011200200
53123333112412344
6114223202411132
710204114543601
oct1360463054040
9318651301732
10101012232224
1139925854162
12176b0960aa8
1396aa440517
144c63673da8
15296303544e
hex1784cc5820

101012232224 has 36 divisors (see below), whose sum is σ = 205489924542. Its totient is φ = 48876871680.

The previous prime is 101012232203. The next prime is 101012232227. The reversal of 101012232224 is 422232210101.

It can be written as a sum of positive squares in only one way, i.e., 83833411600 + 17178820624 = 289540^2 + 131068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012232196 and 101012232205.

It is not an unprimeable number, because it can be changed into a prime (101012232227) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611617 + ... + 1673120.

Almost surely, 2101012232224 is an apocalyptic number.

It is an amenable number.

101012232224 is an abundant number, since it is smaller than the sum of its proper divisors (104477692318).

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

101012232224 is an equidigital number, since it uses as much as digits as its factorization.

101012232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284809 (or 3284770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101012232224 its reverse (422232210101), we get a palindrome (523244442325).

The spelling of 101012232224 in words is "one hundred one billion, twelve million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 7688 15376 30752 3284737 6569474 13138948 26277896 52555792 101826847 105111584 203653694 407307388 814614776 1629229552 3156632257 3258459104 6313264514 12626529028 25253058056 50506116112 101012232224