Search a number
-
+
100000131012321 = 34312911777337907
BaseRepresentation
bin10110101111001100011000…
…010010010101011011100001
3111010001220211001211122101220
4112233030120102111123201
5101101400232014343241
6552403232002445253
730030525316550331
oct2657143022253341
9433056731748356
10100000131012321
11299548a9a5a721
12b270841663829
1343a4c83327427
141a9a0643970c1
15b8637604d166
hex5af3184956e1

100000131012321 has 32 divisors (see below), whose sum is σ = 136617210014208. Its totient is φ = 65029117628160.

The previous prime is 100000131012319. The next prime is 100000131012329. The reversal of 100000131012321 is 123210131000001.

It is a happy number.

It is not a de Polignac number, because 100000131012321 - 21 = 100000131012319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000131012321.

It is not an unprimeable number, because it can be changed into a prime (100000131012329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295770850 + ... + 296108756.

It is an arithmetic number, because the mean of its divisors is an integer number (4269287812944).

Almost surely, 2100000131012321 is an apocalyptic number.

It is an amenable number.

100000131012321 is a deficient number, since it is larger than the sum of its proper divisors (36617079001887).

100000131012321 is a wasteful number, since it uses less digits than its factorization.

100000131012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341021.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100000131012321 its reverse (123210131000001), we get a palindrome (223210262012322).

The spelling of 100000131012321 in words is "one hundred trillion, one hundred thirty-one million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 43 129 1291 1777 3873 5331 55513 76411 166539 229233 337907 1013721 2294107 6882321 14530001 43590003 98646601 295939803 436237937 600460739 1308713811 1801382217 18758231291 25819811777 56274693873 77459435331 775194814049 2325584442147 33333377004107 100000131012321