Search a number
-
+
101323236001 = 131723712231259
BaseRepresentation
bin101111001011101010…
…1011110001010100001
3100200112101112200210111
41132113111132022201
53130002222023001
6114314112331321
710214612203261
oct1362725361241
9320471480714
10101323236001
1139a75363979
1217778b43b41
1397299c1a20
144c92aad7a1
1529804b9851
hex179755e2a1

101323236001 has 64 divisors (see below), whose sum is σ = 122903101440. Its totient is φ = 82576327680.

The previous prime is 101323235983. The next prime is 101323236023. The reversal of 101323236001 is 100632323101.

It is not a de Polignac number, because 101323236001 - 219 = 101322711713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101323236041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80478510 + ... + 80479768.

It is an arithmetic number, because the mean of its divisors is an integer number (1920360960).

Almost surely, 2101323236001 is an apocalyptic number.

It is an amenable number.

101323236001 is a deficient number, since it is larger than the sum of its proper divisors (21579865439).

101323236001 is a wasteful number, since it uses less digits than its factorization.

101323236001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101323236001 its reverse (100632323101), we get a palindrome (201955559102).

The spelling of 101323236001 in words is "one hundred one billion, three hundred twenty-three million, two hundred thirty-six thousand, one".

Divisors: 1 13 17 23 71 221 223 299 391 923 1207 1259 1633 2899 3791 5083 5129 15691 15833 16367 21229 21403 27761 28957 49283 66677 87193 89389 205829 269161 278239 280757 360893 364159 376441 492269 1133509 1162057 1519613 2055947 3499093 3649841 4734067 4772869 6190703 6399497 6457411 19754969 19933747 26727311 34951099 62047297 80479139 83946343 109775987 259138711 338873699 454364287 458476181 1427087831 4405358087 5960190353 7794095077 101323236001