Search a number
-
+
13535402342 = 27112331131941
BaseRepresentation
bin11001001101100010…
…11101100101100110
31021221022020200101212
430212301131211212
5210210030333332
610115034351422
7656264010260
oct144661354546
937838220355
1013535402342
115816422130
122758b8b572
1313792a0a17
149258d8b30
1554345e8b2
hex326c5d966

13535402342 has 128 divisors (see below), whose sum is σ = 27502903296. Its totient is φ = 4839120000.

The previous prime is 13535402323. The next prime is 13535402347. The reversal of 13535402342 is 24320453531.

It is a junction number, because it is equal to n+sod(n) for n = 13535402299 and 13535402308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535402347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14383592 + ... + 14384532.

It is an arithmetic number, because the mean of its divisors is an integer number (214866432).

Almost surely, 213535402342 is an apocalyptic number.

13535402342 is an abundant number, since it is smaller than the sum of its proper divisors (13967500954).

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

13535402342 is a wasteful number, since it uses less digits than its factorization.

13535402342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 13535402342 its reverse (24320453531), we get a palindrome (37855855873).

The spelling of 13535402342 in words is "thirteen billion, five hundred thirty-five million, four hundred two thousand, three hundred forty-two".

Divisors: 1 2 7 11 14 22 23 31 46 62 77 131 154 161 217 253 262 322 341 434 506 682 713 917 941 1426 1441 1771 1834 1882 2387 2882 3013 3542 4061 4774 4991 6026 6587 7843 8122 9982 10087 10351 13174 15686 20174 20702 21091 21643 28427 29171 33143 42182 43286 44671 54901 56854 58342 66286 72457 89342 93403 109802 123271 144914 151501 186806 204197 232001 238073 246542 303002 312697 320881 408394 464002 476146 625394 641762 653821 670933 862897 1027433 1307642 1341866 1355981 1666511 1725794 2054866 2246167 2711962 2835233 3333022 3821401 4492334 4696531 5670466 7192031 7380263 7642802 9393062 9491867 14384062 14760526 18983734 19846631 26749807 31187563 39693262 42035411 51661841 53499614 62375126 84070822 87892223 103323682 175784446 218312941 294247877 436625882 588495754 615245561 966814453 1230491122 1933628906 6767701171 13535402342