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101334000231 = 3217323372693
BaseRepresentation
bin101111001011111111…
…0100010001001100111
3100200120010210120112200
41132113332202021213
53130013001001411
6114315135145543
710215102535002
oct1362776421147
9320503716480
10101334000231
1139a80446232
12177806752b3
13972bcc03a9
144c942b2539
1529813e3e56
hex1797fa2267

101334000231 has 96 divisors (see below), whose sum is σ = 166727134080. Its totient is φ = 59151983616.

The previous prime is 101334000199. The next prime is 101334000241. The reversal of 101334000231 is 132000433101.

101334000231 is a `hidden beast` number, since 1 + 0 + 1 + 33 + 400 + 0 + 231 = 666.

It is not a de Polignac number, because 101334000231 - 25 = 101334000199 is a prime.

It is a super-2 number, since 2×1013340002312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334000241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37627321 + ... + 37630013.

It is an arithmetic number, because the mean of its divisors is an integer number (1736740980).

Almost surely, 2101334000231 is an apocalyptic number.

101334000231 is a deficient number, since it is larger than the sum of its proper divisors (65393133849).

101334000231 is a wasteful number, since it uses less digits than its factorization.

101334000231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101334000231 its reverse (132000433101), we get a palindrome (233334433332).

The spelling of 101334000231 in words is "one hundred one billion, three hundred thirty-four million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 17 23 37 51 69 111 153 207 289 333 391 629 851 867 1173 1887 2553 2601 2693 3519 4913 5661 6647 7659 8079 10693 14467 14739 19941 24237 32079 43401 44217 45781 59823 61939 96237 99641 112999 130203 137343 181781 185817 245939 298923 338997 412029 545343 557451 737817 778277 896769 1016991 1052963 1636029 1693897 2213451 2291743 2334831 3158889 4180963 5081691 6875229 7004493 9476667 12542889 13230709 15245073 17900371 20625687 28796249 37628667 38959631 39692127 53701113 86388747 116878893 119076381 161103339 259166241 304306307 350636679 489536233 662313727 912918921 1468608699 1986941181 2738756763 4405826097 5960823543 11259333359 33778000077 101334000231