Search a number
-
+
331668866133 = 33113730181897
BaseRepresentation
bin1001101001110010000…
…00010100010001010101
31011201002120111010002000
410310321000110101111
520413224212204013
6412211102505513
732651030563203
oct4647100242125
91151076433060
10331668866133
11118729479140
1254343295299
1325378b8c157
14120a508a073
158962a8b973
hex4d39014455

331668866133 has 32 divisors (see below), whose sum is σ = 550517819520. Its totient is φ = 195578686080.

The previous prime is 331668866131. The next prime is 331668866141.

It is a happy number.

331668866133 is a `hidden beast` number, since 3 + 3 + 16 + 6 + 8 + 8 + 6 + 613 + 3 = 666.

331668866133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331668866133 - 21 = 331668866131 is a prime.

It is a super-2 number, since 2×3316688661332 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331668866133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331668866131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15079960 + ... + 15101937.

It is an arithmetic number, because the mean of its divisors is an integer number (17203681860).

Almost surely, 2331668866133 is an apocalyptic number.

331668866133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331668866133 is a deficient number, since it is larger than the sum of its proper divisors (218848953387).

331668866133 is a wasteful number, since it uses less digits than its factorization.

331668866133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30181954 (or 30181948 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 331668866133 in words is "three hundred thirty-one billion, six hundred sixty-eight million, eight hundred sixty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 30181897 90545691 271637073 332000867 814911219 996002601 1116730189 2988007803 3350190567 8964023409 10050571701 12284032079 30151715103 36852096237 110556288711 331668866133