Search a number
-
+
23242243340130 = 23519532717928307
BaseRepresentation
bin1010100100011100000011…
…01010000111011101100010
310001021221021220022111020020
411102032001222013131202
511021300103243341010
6121233201133054310
74616124312502023
oct522160152073542
9101257256274206
1023242243340130
117450a86494661
122734604327396
13cc7970bac949
145a4d05722c4a
152a48b6464470
hex152381a87762

23242243340130 has 128 divisors (see below), whose sum is σ = 59829433574400. Its totient is φ = 5760521904384.

The previous prime is 23242243340117. The next prime is 23242243340191. The reversal of 23242243340130 is 3104334224232.

It is a junction number, because it is equal to n+sod(n) for n = 23242243340091 and 23242243340100.

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, 821063437 + ... + 821091743.

It is an arithmetic number, because the mean of its divisors is an integer number (467417449800).

Almost surely, 223242243340130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23242243340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29914716787200).

23242243340130 is an abundant number, since it is smaller than the sum of its proper divisors (36587190234270).

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

23242243340130 is a wasteful number, since it uses less digits than its factorization.

23242243340130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55568.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 23242243340130 its reverse (3104334224232), we get a palindrome (26346577564362).

The spelling of 23242243340130 in words is "twenty-three trillion, two hundred forty-two billion, two hundred forty-three million, three hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 795 1007 1590 2014 3021 5035 6042 10070 15105 27179 28307 30210 54358 56614 81537 84921 135895 141535 163074 169842 271790 283070 407685 424605 516401 537833 815370 849210 1032802 1075666 1440487 1500271 1549203 1613499 2582005 2689165 2880974 3000542 3098406 3226998 4321461 4500813 5164010 5378330 7202435 7501355 7746015 8067495 8642922 9001626 14404870 15002710 15492030 16134990 21607305 22504065 27369253 28505149 43214610 45008130 54738506 57010298 82107759 85515447 136846265 142525745 164215518 171030894 273692530 285051490 410538795 427577235 769355953 821077590 855154470 1538711906 2308067859 3846779765 4616135718 7693559530 11540339295 14617763107 23080678590 29235526214 40775865509 43853289321 73088815535 81551731018 87706578642 122327596527 146177631070 203879327545 219266446605 244655193054 407758655090 438532893210 611637982635 774741444671 1223275965270 1549482889342 2324224334013 3873707223355 4648448668026 7747414446710 11621121670065 23242243340130