Search a number
-
+
3133131414413 = 7211213671016007
BaseRepresentation
bin101101100101111101001…
…011110101101110001101
3102002112011022111212002112
4231211331023311232031
5402313123120230123
610355201331433405
7442234626415400
oct55457513655615
912075138455075
103133131414413
11aa8832003900
1242727b455865
131995b73ab470
14ab904215d37
1556777458d78
hex2d97d2f5b8d

3133131414413 has 144 divisors (see below), whose sum is σ = 4422761707392. Its totient is φ = 2197619424000.

The previous prime is 3133131414349. The next prime is 3133131414431. The reversal of 3133131414413 is 3144141313313.

It is not a de Polignac number, because 3133131414413 - 26 = 3133131414349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3133131414413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133131414473) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 521577056 + ... + 521583062.

It is an arithmetic number, because the mean of its divisors is an integer number (30713622968).

Almost surely, 23133131414413 is an apocalyptic number.

It is an amenable number.

3133131414413 is a deficient number, since it is larger than the sum of its proper divisors (1289630292979).

3133131414413 is a wasteful number, since it uses less digits than its factorization.

3133131414413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6206 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

Adding to 3133131414413 its reverse (3144141313313), we get a palindrome (6277272727726).

The spelling of 3133131414413 in words is "three trillion, one hundred thirty-three billion, one hundred thirty-one million, four hundred fourteen thousand, four hundred thirteen".

Divisors: 1 7 11 13 49 67 77 91 101 121 143 469 539 637 707 737 847 871 1001 1111 1313 1573 3283 4949 5159 5929 6007 6097 6767 7007 7777 8107 9191 9581 11011 12221 14443 36113 42049 42679 47369 54439 56749 64337 66077 67067 74437 77077 78091 85547 87971 101101 105391 158873 294343 331583 397243 402469 462539 469469 521059 546637 598829 606707 615797 707707 726847 737737 818807 859001 967681 1112111 2817283 3237773 3647413 3826459 4246949 4310579 4427159 5087929 5164159 5232097 5731649 6013007 6673777 6773767 7784777 7887191 9449011 10644491 19720981 29728643 30990113 35615503 36624679 40121543 40649369 42091049 46716439 47416369 48698749 55210337 57553067 66143077 73411547 74511437 86759101 216930791 256372753 284545583 327015073 340891243 386472359 402871469 447143059 463001539 513880829 521580059 528441797 607313707 633083737 954350111 1991819081 2386238701 2820100283 3130001413 3597165803 3699092579 4251195949 4431586159 4918573649 5812859767 6680450777 21910009891 25893648053 31021103113 34430015543 40690018369 46763155439 63941457437 241010108801 284830128583 447590202059 3133131414413