Search a number
-
+
1330101412340 = 2253719157116481
BaseRepresentation
bin10011010110110000001…
…110001110000111110100
311201011020001110122011212
4103112300032032013310
5133243021430143330
62455012401220552
7165045103314131
oct23266016160764
94634201418155
101330101412340
11473102631878
12195948331758
13985744a8b2c
144853d271588
15248eb8d2295
hex135b038e1f4

1330101412340 has 96 divisors (see below), whose sum is σ = 2888950192128. Its totient is φ = 514017792000.

The previous prime is 1330101412273. The next prime is 1330101412349. The reversal of 1330101412340 is 432141010331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330101412349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80696900 + ... + 80713380.

It is an arithmetic number, because the mean of its divisors is an integer number (30093231168).

Almost surely, 21330101412340 is an apocalyptic number.

1330101412340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330101412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444475096064).

1330101412340 is an abundant number, since it is smaller than the sum of its proper divisors (1558848779788).

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

1330101412340 is a wasteful number, since it uses less digits than its factorization.

1330101412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17289 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1330101412340 its reverse (432141010331), we get a palindrome (1762242422671).

The spelling of 1330101412340 in words is "one trillion, three hundred thirty billion, one hundred one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 191 370 382 571 740 764 955 1142 1910 2284 2855 3820 5710 7067 11420 14134 16481 21127 28268 32962 35335 42254 65924 70670 82405 84508 105635 109061 141340 164810 211270 218122 329620 422540 436244 545305 609797 1090610 1219594 2181220 2439188 3048985 3147871 4035257 6097970 6295742 8070514 9410651 12195940 12591484 15739355 16141028 18821302 20176285 31478710 37642604 40352570 47053255 62957420 80705140 94106510 116471227 188213020 232942454 348194087 465884908 582356135 696388174 1164712270 1392776348 1740970435 1797434341 2329424540 3481940870 3594868682 6963881740 7189737364 8987171705 17974343410 35948686820 66505070617 133010141234 266020282468 332525353085 665050706170 1330101412340