Search a number
-
+
13332054050601 = 311213103233117721
BaseRepresentation
bin1100001000000001110001…
…0110001000011100101001
31202012112100202210001002220
43002000130112020130221
53221413021314104401
644204354443144253
72544131504432436
oct302003426103451
952175322701086
1013332054050601
114280101a44700
1215b3a11b15089
1375929059c470
143413bc2dab8d
15181be5e5c336
hexc201c588729

13332054050601 has 96 divisors (see below), whose sum is σ = 21337645545216. Its totient is φ = 7354316851200.

The previous prime is 13332054050569. The next prime is 13332054050611. The reversal of 13332054050601 is 10605045023331.

It is not a de Polignac number, because 13332054050601 - 25 = 13332054050569 is a prime.

It is a super-2 number, since 2×133320540506012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13332054050611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113192421 + ... + 113310141.

It is an arithmetic number, because the mean of its divisors is an integer number (222267141096).

Almost surely, 213332054050601 is an apocalyptic number.

13332054050601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13332054050601 is a deficient number, since it is larger than the sum of its proper divisors (8005591494615).

13332054050601 is a wasteful number, since it uses less digits than its factorization.

13332054050601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118095 (or 118084 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 13332054050601 its reverse (10605045023331), we get a palindrome (23937099073932).

The spelling of 13332054050601 in words is "thirteen trillion, three hundred thirty-two billion, fifty-four million, fifty thousand, six hundred one".

Divisors: 1 3 11 13 33 39 103 121 143 233 309 363 429 699 1133 1339 1573 2563 3029 3399 4017 4719 7689 9087 12463 14729 23999 28193 33319 37389 44187 71997 84579 99957 117721 162019 263989 311987 353163 366509 486057 791967 935961 1099527 1294931 1530373 2903879 3431857 3884793 4591119 8711637 10295571 12125263 14244241 16834103 27428993 36375789 37750427 42732723 50502309 82286979 113251281 133377893 157628419 185175133 301718923 356576909 400133679 472885257 555525399 905156769 1069730727 1467156823 1733912609 2825186279 3318908153 3922345999 4401470469 5201737827 8475558837 9956724459 11767037997 19073038699 31077049069 36727421627 43145805989 57219116097 93231147207 110182264881 129437417967 341847539759 404001637897 1025542619277 1212004913691 4444018016867 13332054050601