Search a number
-
+
31530133036503 = 3259793799532081
BaseRepresentation
bin1110010101101001011100…
…11000010001110111010111
311010122020210011221202100200
413022310232120101313113
513113042203024132003
6151020424304311543
76432656042532153
oct712645630216727
9133566704852320
1031530133036503
11a0569441237a2
1236529019125b3
13147938165a56a
147b00d09b2063
1539a2877ca6a3
hex1cad2e611dd7

31530133036503 has 96 divisors (see below), whose sum is σ = 47097438336000. Its totient is φ = 20317297029120.

The previous prime is 31530133036481. The next prime is 31530133036529. The reversal of 31530133036503 is 30563033103513.

31530133036503 is a `hidden beast` number, since 3 + 1 + 530 + 13 + 30 + 36 + 50 + 3 = 666.

It is not a de Polignac number, because 31530133036503 - 212 = 31530133032407 is a prime.

It is a super-2 number, since 2×315301330365032 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31530133036903) 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, 15151432423 + ... + 15151434503.

It is an arithmetic number, because the mean of its divisors is an integer number (490598316000).

Almost surely, 231530133036503 is an apocalyptic number.

31530133036503 is a deficient number, since it is larger than the sum of its proper divisors (15567305299497).

31530133036503 is a wasteful number, since it uses less digits than its factorization.

31530133036503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 36.

The spelling of 31530133036503 in words is "thirty-one trillion, five hundred thirty billion, one hundred thirty-three million, thirty-six thousand, five hundred three".

Divisors: 1 3 9 59 79 177 237 379 531 711 953 1137 2081 2859 3411 4661 6243 8577 13983 18729 22361 29941 41949 56227 67083 75287 89823 122779 164399 168681 201249 225861 269469 361187 368337 493197 506043 677583 788699 1083561 1105011 1479591 1766519 1983193 2366097 3250683 4441933 5299557 5949579 7098291 9699541 13325799 15898671 17848737 21310033 28533773 29098623 39977397 46533241 62307221 63930099 85601319 87295869 117008387 139599723 156672247 186921663 191790297 256803957 351025161 418799169 470016741 560764989 751630147 1053075483 1410050223 1683492607 2254890441 3676126039 5050477821 6764671323 9243662573 11028378117 15151433463 27730987719 33085134351 44346178673 59378781613 83192963157 133038536019 178136344839 399115608057 534409034517 3503348115167 10510044345501 31530133036503