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233153230320441 = 3343200821042481
BaseRepresentation
bin110101000000110100110111…
…011110001011001100111001
31010120112020020111110212222000
4311000310313132023030321
5221024440303430223231
62143513040525451213
7100052523253344204
oct6500646736131471
91116466214425860
10233153230320441
1168320803250842
12221967a9110b09
13a013341b03a92
14418096869693b
151be4cb5a786e6
hexd40d3778b339

233153230320441 has 16 divisors (see below), whose sum is σ = 353445034768320. Its totient is φ = 151820708114880.

The previous prime is 233153230320427. The next prime is 233153230320449. The reversal of 233153230320441 is 144023032351332.

233153230320441 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 5 + 323 + 0 + 320 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 233153230320441 - 245 = 197968858231609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233153230320396 and 233153230320405.

It is not an unprimeable number, because it can be changed into a prime (233153230320449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100410520080 + ... + 100410522401.

It is an arithmetic number, because the mean of its divisors is an integer number (22090314673020).

Almost surely, 2233153230320441 is an apocalyptic number.

It is an amenable number.

233153230320441 is a deficient number, since it is larger than the sum of its proper divisors (120291804447879).

233153230320441 is a wasteful number, since it uses less digits than its factorization.

233153230320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200821042533 (or 200821042527 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 233153230320441 its reverse (144023032351332), we get a palindrome (377176262671773).

The spelling of 233153230320441 in words is "two hundred thirty-three trillion, one hundred fifty-three billion, two hundred thirty million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 27 43 129 387 1161 200821042481 602463127443 1807389382329 5422168146987 8635304826683 25905914480049 77717743440147 233153230320441