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233003200120101 = 3265813933937769
BaseRepresentation
bin110100111110101001001000…
…111110011000010100100101
31010112222212222122012001000100
4310332221020332120110211
5221020011023212320401
62143320105321534313
7100035632336601255
oct6476511076302445
91115885878161010
10233003200120101
11682731140a5734
12221716b8344399
13a00215220c3c8
1441775b4cc3965
151be0e344d0b86
hexd3ea48f98525

233003200120101 has 12 divisors (see below), whose sum is σ = 336611319227820. Its totient is φ = 155311863080640.

The previous prime is 233003200120039. The next prime is 233003200120133. The reversal of 233003200120101 is 101021002300332.

233003200120101 is a `hidden beast` number, since 2 + 330 + 0 + 3 + 200 + 120 + 10 + 1 = 666.

233003200120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 157441036097601 + 75562164022500 = 12547551^2 + 8692650^2 .

It is not a de Polignac number, because 233003200120101 - 210 = 233003200119077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233003201120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966909656 + ... + 1967028113.

It is an arithmetic number, because the mean of its divisors is an integer number (28050943268985).

Almost surely, 2233003200120101 is an apocalyptic number.

It is an amenable number.

233003200120101 is a deficient number, since it is larger than the sum of its proper divisors (103608119107719).

233003200120101 is a wasteful number, since it uses less digits than its factorization.

233003200120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933944356 (or 3933944353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233003200120101 its reverse (101021002300332), we get a palindrome (334024202420433).

The spelling of 233003200120101 in words is "two hundred thirty-three trillion, three billion, two hundred million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 6581 19743 59229 3933937769 11801813307 35405439921 25889244457789 77667733373367 233003200120101