Search a number
-
+
23031142134 = 23711134193529
BaseRepresentation
bin10101011100110000…
…110101011011110110
32012110002011020120020
4111130300311123312
5334131433022014
614325205150010
71443506322660
oct253460653366
965402136506
1023031142134
11984952aa70
1245690bb306
132230673c70
141186ab7530
158ebe121a9
hex55cc356f6

23031142134 has 128 divisors (see below), whose sum is σ = 63354977280. Its totient is φ = 5387212800.

The previous prime is 23031142129. The next prime is 23031142153. The reversal of 23031142134 is 43124113032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199482 + ... + 293010.

It is an arithmetic number, because the mean of its divisors is an integer number (494960760).

Almost surely, 223031142134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23031142134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31677488640).

23031142134 is an abundant number, since it is smaller than the sum of its proper divisors (40323835146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23031142134 is a wasteful number, since it uses less digits than its factorization.

23031142134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93606.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23031142134 its reverse (43124113032), we get a palindrome (66155255166).

The spelling of 23031142134 in words is "twenty-three billion, thirty-one million, one hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 41 42 66 77 78 82 91 123 143 154 182 231 246 273 286 287 429 451 462 533 546 574 858 861 902 1001 1066 1353 1599 1722 2002 2706 3003 3157 3198 3731 5863 6006 6314 7462 9471 11193 11726 17589 18942 22386 35178 41041 82082 93529 123123 187058 246246 280587 561174 654703 1028819 1215877 1309406 1964109 2057638 2431754 3086457 3647631 3834689 3928218 6172914 7201733 7295262 7669378 8511139 11504067 13374647 14403466 17022278 21605199 23008134 25533417 26749294 26842823 40123941 42181579 43210398 49850957 51066834 53685646 80247882 80528469 84363158 93622529 99701914 126544737 149552871 161056938 187245058 253089474 280867587 295271053 299105742 348956699 548360527 561735174 590542106 697913398 885813159 1046870097 1096721054 1645081581 1771626318 2093740194 3290163162 3838523689 7677047378 11515571067 23031142134