Search a number
-
+
330323013200232 = 2332132185131615049
BaseRepresentation
bin100101100011011010101000…
…1110111001110100101101000
31121022120120102201222001222200
41023012311101313032211220
5321244003012334401412
63130312144121220200
7126402023126110113
oct11306652167164550
91538516381861880
10330323013200232
11962842264a2818
123106a990931660
13112414323a41c0
145b7da0d48b57a
15282c6d63629dc
hex12c6d51dce968

330323013200232 has 96 divisors (see below), whose sum is σ = 963447127461000. Its totient is φ = 101637322149888.

The previous prime is 330323013200221. The next prime is 330323013200237. The reversal of 330323013200232 is 232002310323033.

330323013200232 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 2 + 301 + 320 + 0 + 2 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259860654597636 + 70462358602596 = 16120194^2 + 8394186^2 .

It is a super-2 number, since 2×3303230132002322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330323013200196 and 330323013200205.

It is not an unprimeable number, because it can be changed into a prime (330323013200237) 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, 203720644 + ... + 205335692.

Almost surely, 2330323013200232 is an apocalyptic number.

It is an amenable number.

330323013200232 is an abundant number, since it is smaller than the sum of its proper divisors (633124114260768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330323013200232 is a wasteful number, since it uses less digits than its factorization.

330323013200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833587 (or 1833580 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 330323013200232 its reverse (232002310323033), we get a palindrome (562325323523265).

The spelling of 330323013200232 in words is "three hundred thirty trillion, three hundred twenty-three billion, thirteen million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 218513 437026 655539 874052 1311078 1615049 1748104 1966617 2622156 2840669 3230098 3933234 4845147 5244312 5681338 6460196 7866468 8522007 9690294 11362676 12920392 14535441 15732936 17044014 19380588 20995637 22725352 25566021 29070882 34088028 38761176 41991274 51132042 58141764 62986911 68176056 83982548 102264084 116283528 125973822 167965096 188960733 204528168 251947644 377921466 503895288 755842932 1511685864 352909202137 705818404274 1058727606411 1411636808548 2117455212822 2823273617096 3176182819233 4234910425644 4587819627781 6352365638466 8469820851288 9175639255562 12704731276932 13763458883343 18351278511124 25409462553864 27526917766686 36702557022248 41290376650029 55053835533372 82580753300058 110107671066744 165161506600116 330323013200232