Search a number
-
+
101131211223 = 32737113383941
BaseRepresentation
bin101111000101111100…
…0111101000111010111
3100200001000012211022200
41132023320331013113
53124104042224343
6114243052455543
710210061053260
oct1361370750727
9320030184280
10101131211223
1139986a28909
121772477a5b3
1396c8c9a7b3
144c753a5967
15296d6d84d3
hex178be3d1d7

101131211223 has 48 divisors (see below), whose sum is σ = 172976621376. Its totient is φ = 55729658880.

The previous prime is 101131211197. The next prime is 101131211231. The reversal of 101131211223 is 322112131101.

101131211223 is a `hidden beast` number, since 101 + 131 + 211 + 223 = 666.

It is not a de Polignac number, because 101131211223 - 29 = 101131210711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101131211196 and 101131211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131211273) 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 47 ways as a sum of consecutive naturals, for example, 71433 + ... + 455373.

It is an arithmetic number, because the mean of its divisors is an integer number (3603679612).

Almost surely, 2101131211223 is an apocalyptic number.

101131211223 is a deficient number, since it is larger than the sum of its proper divisors (71845410153).

101131211223 is a wasteful number, since it uses less digits than its factorization.

101131211223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384104 (or 384101 counting only the distinct ones).

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

Adding to 101131211223 its reverse (322112131101), we get a palindrome (423243342324).

The spelling of 101131211223 in words is "one hundred one billion, one hundred thirty-one million, two hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 37 63 111 113 259 333 339 777 791 1017 2331 2373 4181 7119 12543 29267 37629 87801 263403 383941 1151823 2687587 3455469 8062761 14205817 24188283 42617451 43385333 99440719 127852353 130155999 298322157 303697331 390467997 894966471 911091993 1605257321 2733275979 4815771963 11236801247 14447315889 33710403741 101131211223