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101225220232 = 2339233322513
BaseRepresentation
bin101111001000101111…
…1100100100010001000
3100200021120002222102211
41132101133210202020
53124302124021412
6114300251434504
710212312114103
oct1362137444210
9320246088384
10101225220232
1139a24aa8204
1217750155a34
1397125c4426
144c83a7773a
152976aa7ca7
hex17917e4888

101225220232 has 16 divisors (see below), whose sum is σ = 189802714140. Its totient is φ = 50611163136.

The previous prime is 101225220221. The next prime is 101225220233. The reversal of 101225220232 is 232022522101.

It can be written as a sum of positive squares in 2 ways, for example, as 101115096196 + 110124036 = 317986^2 + 10494^2 .

It is a super-2 number, since 2×1012252202322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101225220233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152608 + ... + 475120.

Almost surely, 2101225220232 is an apocalyptic number.

It is an amenable number.

101225220232 is a deficient number, since it is larger than the sum of its proper divisors (88577493908).

101225220232 is a wasteful number, since it uses less digits than its factorization.

101225220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361752 (or 361748 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 101225220232 its reverse (232022522101), we get a palindrome (333247742333).

The spelling of 101225220232 in words is "one hundred one billion, two hundred twenty-five million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 39233 78466 156932 313864 322513 645026 1290052 2580104 12653152529 25306305058 50612610116 101225220232