Search a number
-
+
13121011242423 = 337883721910891
BaseRepresentation
bin1011111011101111100100…
…1101101101010110110111
31201110100121211111120121000
42332323321031231112313
53204433312334224143
643523413115254343
72522650614240420
oct276737115552667
951410554446530
1013121011242423
1141a9653867257
12157ab3414a3b3
137423c9517b86
143350bb7a4647
1517b4932debd3
hexbeef936d5b7

13121011242423 has 64 divisors (see below), whose sum is σ = 22245751091200. Its totient is φ = 7487504529120.

The previous prime is 13121011242419. The next prime is 13121011242473. The reversal of 13121011242423 is 32424211012131.

13121011242423 is a `hidden beast` number, since 1 + 3 + 1 + 210 + 1 + 1 + 2 + 424 + 23 = 666.

It is not a de Polignac number, because 13121011242423 - 22 = 13121011242419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121011242473) 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, 1204751808 + ... + 1204762698.

It is an arithmetic number, because the mean of its divisors is an integer number (347589860800).

Almost surely, 213121011242423 is an apocalyptic number.

13121011242423 is a deficient number, since it is larger than the sum of its proper divisors (9124739848777).

13121011242423 is a wasteful number, since it uses less digits than its factorization.

13121011242423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19009 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13121011242423 its reverse (32424211012131), we get a palindrome (45545222254554).

The spelling of 13121011242423 in words is "thirteen trillion, one hundred twenty-one billion, eleven million, two hundred forty-two thousand, four hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 883 2649 6181 7219 7947 10891 18543 21657 23841 32673 50533 55629 64971 76237 98019 151599 166887 194913 228711 294057 454797 686133 1364391 2058399 6374377 9616753 19123131 28850259 44620639 57369393 67317271 78622129 86550777 133861917 172108179 201951813 235866387 259652331 401585751 550354903 605855439 707599161 1204757253 1651064709 1817566317 2122797483 4953194127 14859582381 69423339907 208270019721 485963379349 624810059163 1457890138047 1874430177489 4373670414141 13121011242423