Search a number
-
+
101231103141 = 32717611549511
BaseRepresentation
bin101111001000111011…
…0000000110010100101
3100200021222011212021100
41132101312000302211
53124310130300031
6114301021510313
710212413115330
oct1362166006245
9320258155240
10101231103141
1139a28356113
1217752112399
1397138a403c
144c84769617
15297736ade6
hex1791d80ca5

101231103141 has 48 divisors (see below), whose sum is σ = 179842560768. Its totient is φ = 53551065600.

The previous prime is 101231103137. The next prime is 101231103179. The reversal of 101231103141 is 141301132101.

It is a happy number.

It is not a de Polignac number, because 101231103141 - 22 = 101231103137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231103241) 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 47 ways as a sum of consecutive naturals, for example, 709425 + ... + 840086.

It is an arithmetic number, because the mean of its divisors is an integer number (3746720016).

Almost surely, 2101231103141 is an apocalyptic number.

It is an amenable number.

101231103141 is a deficient number, since it is larger than the sum of its proper divisors (78611457627).

101231103141 is a wasteful number, since it uses less digits than its factorization.

101231103141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549602 (or 1549599 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101231103141 its reverse (141301132101), we get a palindrome (242532235242).

The spelling of 101231103141 in words is "one hundred one billion, two hundred thirty-one million, one hundred three thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 51 61 63 119 153 183 357 427 549 1037 1071 1281 3111 3843 7259 9333 21777 65331 1549511 4648533 10846577 13945599 26341687 32539731 79025061 94520171 97619193 184391809 237075183 283560513 553175427 661641197 850681539 1606842907 1659526281 1984923591 4820528721 5954770773 11247900349 14461586163 33743701047 101231103141