Search a number
-
+
100322023221 = 3272376148313
BaseRepresentation
bin101110101101110101…
…0001001011100110101
3100120221121120211001200
41131123222021130311
53120424414220341
6114030505043113
710151034061500
oct1353352113465
9316847524050
10100322023221
11396011919a2
1217539786499
1395ca44b824
144bd9b28137
152922648db6
hex175ba89735

100322023221 has 36 divisors (see below), whose sum is σ = 173124225612. Its totient is φ = 55777486464.

The previous prime is 100322023189. The next prime is 100322023223. The reversal of 100322023221 is 122320223001.

100322023221 is a `hidden beast` number, since 100 + 322 + 0 + 23 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77902950321 + 22419072900 = 279111^2 + 149730^2 .

It is not a de Polignac number, because 100322023221 - 25 = 100322023189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100322023194 and 100322023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322023223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3057840 + ... + 3090473.

It is an arithmetic number, because the mean of its divisors is an integer number (4809006267).

Almost surely, 2100322023221 is an apocalyptic number.

It is an amenable number.

100322023221 is a deficient number, since it is larger than the sum of its proper divisors (72802202391).

100322023221 is a wasteful number, since it uses less digits than its factorization.

100322023221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148370 (or 6148360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100322023221 its reverse (122320223001), we get a palindrome (222642246222).

The spelling of 100322023221 in words is "one hundred billion, three hundred twenty-two million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2331 5439 16317 6148313 18444939 43038191 55334817 129114573 227487581 301267337 387343719 682462743 903802011 1592413067 2047388229 2711406033 4777239201 11146891469 14331717603 33440674407 100322023221