Search a number
-
+
330203000133 = 32371198782723
BaseRepresentation
bin1001100111000011010…
…00011110110101000101
31011120022102012101221200
410303201220132311011
520402223432001013
6411405420133113
732566511122326
oct4634150366505
91146272171850
10330203000133
11118046a92336
1253bb4397199
13251a428b716
1411da651044d
1588c9035e73
hex4ce1a1ed45

330203000133 has 24 divisors (see below), whose sum is σ = 489897484128. Its totient is φ = 214165272672.

The previous prime is 330203000119. The next prime is 330203000161. The reversal of 330203000133 is 331000302033.

330203000133 is a `hidden beast` number, since 330 + 2 + 0 + 300 + 0 + 1 + 33 = 666.

It is not a de Polignac number, because 330203000133 - 28 = 330202999877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330203000333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3950310 + ... + 4033032.

It is an arithmetic number, because the mean of its divisors is an integer number (20412395172).

Almost surely, 2330203000133 is an apocalyptic number.

It is an amenable number.

330203000133 is a deficient number, since it is larger than the sum of its proper divisors (159694483995).

330203000133 is a wasteful number, since it uses less digits than its factorization.

330203000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94753 (or 94750 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 330203000133 its reverse (331000302033), we get a palindrome (661203302166).

The spelling of 330203000133 in words is "three hundred thirty billion, two hundred three million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 11987 35961 82723 107883 248169 443519 744507 1330557 3060751 3991671 9182253 27546759 991600601 2974801803 8924405409 36689222237 110067666711 330203000133