Search a number
-
+
13101132203112 = 23319411189758901
BaseRepresentation
bin1011111010100101100001…
…0101001100010001101000
31201101110022102120202012210
42332221120111030101220
53204122104320444422
643510324350405120
72521345161215532
oct276513025142150
951343272522183
1013101132203112
1141a1182645848
1215771068007a0
1374057bc12515
143341535a8852
1517abcceb910c
hexbea5854c468

13101132203112 has 128 divisors (see below), whose sum is σ = 35321126198400. Its totient is φ = 4035884544000.

The previous prime is 13101132203059. The next prime is 13101132203119. The reversal of 13101132203112 is 21130223110131.

It is not an unprimeable number, because it can be changed into a prime (13101132203119) 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, 222396862 + ... + 222455762.

It is an arithmetic number, because the mean of its divisors is an integer number (275946298425).

Almost surely, 213101132203112 is an apocalyptic number.

13101132203112 is a gapful number since it is divisible by the number (12) 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 13101132203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660563099200).

13101132203112 is an abundant number, since it is smaller than the sum of its proper divisors (22219993995288).

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

13101132203112 is a wasteful number, since it uses less digits than its factorization.

13101132203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70867 (or 70863 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13101132203112 its reverse (21130223110131), we get a palindrome (34231355313243).

The spelling of 13101132203112 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4674 6232 9348 11897 18696 23794 35691 47588 58901 71382 95176 117802 142764 176703 226043 235604 285528 353406 452086 471208 487777 678129 706812 904172 975554 1119119 1356258 1413624 1463331 1808344 1951108 2238238 2414941 2712516 2926662 3357357 3902216 4476476 4829882 5425032 5853324 6714714 7244823 8952952 9267763 9659764 11706648 13429428 14489646 18535526 19319528 26858856 27803289 28979292 37071052 45883879 55606578 57958584 74142104 91767758 111213156 137651637 183535516 222426312 275303274 367071032 550606548 700745197 1101213096 1401490394 2102235591 2802980788 4204471182 5605961576 8408942364 13314158743 16817884728 26628317486 28730553077 39942476229 53256634972 57461106154 79884952458 86191659231 106513269944 114922212308 159769904916 172383318462 229844424616 319539809832 344766636924 545880508463 689533273848 1091761016926 1637641525389 2183522033852 3275283050778 4367044067704 6550566101556 13101132203112