Search a number
-
+
233152451045311 = 7284231526936997
BaseRepresentation
bin110101000000110100001001…
…000001011110011110111111
31010120112011020012010121110011
4311000310021001132132333
5221024432204431422221
62143512431331124051
7100052465041536100
oct6500641101363677
91116464205117404
10233152451045311
1168320443385906
1222196610143627
13a013249529235
1441808d2da43a7
151be4c6c4471e1
hexd40d0905e7bf

233152451045311 has 24 divisors (see below), whose sum is σ = 271275453989280. Its totient is φ = 199802744551872.

The previous prime is 233152451045251. The next prime is 233152451045329. The reversal of 233152451045311 is 113540154251332.

233152451045311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233152451045311 - 217 = 233152450914239 is a prime.

It is a super-2 number, since 2×2331524510453112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233152451045911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6301910065 + ... + 6301947061.

It is an arithmetic number, because the mean of its divisors is an integer number (11303143916220).

Almost surely, 2233152451045311 is an apocalyptic number.

233152451045311 is a deficient number, since it is larger than the sum of its proper divisors (38123002943969).

233152451045311 is a wasteful number, since it uses less digits than its factorization.

233152451045311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60703 (or 60696 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 233152451045311 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, four hundred fifty-one million, forty-five thousand, three hundred eleven".

Divisors: 1 7 49 8423 15269 36997 58961 106883 258979 412727 748181 1812853 128610787 311625731 564907193 900275509 2181380117 3954350351 6301928563 15269660819 27680452457 4758213286639 33307493006473 233152451045311