Search a number
-
+
13353010545231 = 3271754492288089
BaseRepresentation
bin1100001001001111110101…
…1100110100001001001111
31202021112110021010021022200
43002103331130310021033
53222233431144421411
644222142141412543
72545503022622430
oct302237534641117
952245407107280
1013353010545231
114288a86382255
1215b7aa026a153
1375b250191046
14342409647487
15182520b63e56
hexc24fd73424f

13353010545231 has 48 divisors (see below), whose sum is σ = 23344009416000. Its totient is φ = 7180129972224.

The previous prime is 13353010545211. The next prime is 13353010545233. The reversal of 13353010545231 is 13254501035331.

13353010545231 is a `hidden beast` number, since 1 + 33 + 53 + 0 + 1 + 0 + 54 + 523 + 1 = 666.

It is not a de Polignac number, because 13353010545231 - 210 = 13353010544207 is a prime.

It is a super-2 number, since 2×133530105452312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353010545233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4691835 + ... + 6979923.

It is an arithmetic number, because the mean of its divisors is an integer number (486333529500).

Almost surely, 213353010545231 is an apocalyptic number.

13353010545231 is a deficient number, since it is larger than the sum of its proper divisors (9990998870769).

13353010545231 is a wasteful number, since it uses less digits than its factorization.

13353010545231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293568 (or 2293565 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 13353010545231 in words is "thirteen trillion, three hundred fifty-three billion, ten million, five hundred forty-five thousand, two hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 5449 16347 38143 49041 92633 114429 277899 343287 648431 833697 1945293 2288089 5835879 6864267 16016623 20592801 38897513 48049869 116692539 144149607 272282591 350077617 816847773 2450543319 12467796961 37403390883 87274578727 112210172649 211952548337 261823736181 635857645011 785471208543 1483667838359 1907572935033 4451003515077 13353010545231