Search a number
-
+
10130143123230 = 23513532833172993
BaseRepresentation
bin1001001101101001101110…
…0101010001011100011110
31022212102200002110220121120
42103122123211101130132
52311433013114420410
633313420135511410
72063610250550454
oct223323345213436
938772602426546
1010130143123230
113256195778809
121177358528566
13586364891b50
142704316129d4
15128795628570
hex9369b95171e

10130143123230 has 128 divisors (see below), whose sum is σ = 26686104262272. Its totient is φ = 2445647413248.

The previous prime is 10130143123183. The next prime is 10130143123259. The reversal of 10130143123230 is 3232134103101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130143123230.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58471614 + ... + 58644606.

It is an arithmetic number, because the mean of its divisors is an integer number (208485189549).

Almost surely, 210130143123230 is an apocalyptic number.

10130143123230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130143123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343052131136).

10130143123230 is an abundant number, since it is smaller than the sum of its proper divisors (16555961139042).

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

10130143123230 is a wasteful number, since it uses less digits than its factorization.

10130143123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175902.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10130143123230 its reverse (3232134103101), we get a palindrome (13362277226331).

The spelling of 10130143123230 in words is "ten trillion, one hundred thirty billion, one hundred forty-three million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 2833 3445 4134 5666 6890 8499 10335 14165 16998 20670 28330 36829 42495 73658 84990 110487 150149 172993 184145 220974 300298 345986 368290 450447 518979 552435 750745 864965 900894 1037958 1104870 1501490 1729930 1951937 2248909 2252235 2594895 3903874 4497818 4504470 5189790 5855811 6746727 9168629 9759685 11244545 11711622 13493454 18337258 19519370 22489090 27505887 29279055 33733635 45843145 55011774 58558110 67467270 91686290 119192177 137529435 238384354 275058870 357576531 490089169 595960885 715153062 980178338 1191921770 1470267507 1787882655 2450445845 2940535014 3575765310 4900891690 6371159197 7351337535 12742318394 14702675070 19113477591 25974725957 31855795985 38226955182 51949451914 63711591970 77924177871 95567387955 129873629785 155848355742 191134775910 259747259570 337671437441 389620889355 675342874882 779241778710 1013014312323 1688357187205 2026028624646 3376714374410 5065071561615 10130143123230