Search a number
-
+
13002212030310 = 2335592719730011
BaseRepresentation
bin1011110100110101000000…
…1110101011011101100110
31201000222222111211022102000
42331031100032223131212
53201012012234432220
643353044520030130
72511243635504346
oct275152016533546
951028874738360
1013002212030310
1141632307a6918
12155baba602346
1373414603c7a9
1432d44bb14d26
1517833d97d390
hexbd3503ab766

13002212030310 has 128 divisors (see below), whose sum is σ = 35262707443200. Its totient is φ = 3408250584960.

The previous prime is 13002212030309. The next prime is 13002212030359. The reversal of 13002212030310 is 1303021220031.

13002212030310 is a `hidden beast` number, since 1 + 300 + 2 + 2 + 1 + 20 + 30 + 310 = 666.

It is a super-2 number, since 2×130022120303102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 433233205 + ... + 433263215.

It is an arithmetic number, because the mean of its divisors is an integer number (275489901900).

Almost surely, 213002212030310 is an apocalyptic number.

13002212030310 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 13002212030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631353721600).

13002212030310 is an abundant number, since it is smaller than the sum of its proper divisors (22260495412890).

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

13002212030310 is a wasteful number, since it uses less digits than its factorization.

13002212030310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57283 (or 57277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13002212030310 its reverse (1303021220031), we get a palindrome (14305233250341).

The spelling of 13002212030310 in words is "thirteen trillion, two billion, two hundred twelve million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7965 15930 27197 30011 54394 60022 81591 90033 135985 150055 163182 180066 244773 270099 271970 300110 407955 450165 489546 540198 734319 810297 815910 900330 1223865 1350495 1468638 1604623 1620594 1770649 2447730 2700990 3209246 3541298 3671595 4051485 4813869 5311947 7343190 8023115 8102970 8853245 9627738 10623894 14441607 15935841 16046230 17706490 24069345 26559735 28883214 31871682 43324821 47807523 48138690 53119470 72208035 79679205 86649642 95615046 144416070 159358410 216624105 239037615 433248210 478075230 816209167 1632418334 2448627501 4081045835 4897255002 7345882503 8162091670 12243137505 14691765006 22037647509 24486275010 36729412515 44075295018 48156340853 73458825030 96312681706 110188237545 144469022559 220376475090 240781704265 288938045118 433407067677 481563408530 722345112795 866814135354 1300221203031 1444690225590 2167035338385 2600442406062 4334070676770 6501106015155 13002212030310