Search a number
-
+
330101000432340 = 2235192411201503241
BaseRepresentation
bin100101100001110011010000…
…0110111101110101011010100
31121021210100101021202220202120
41023003212200313232223110
5321231333322102313330
63130022150041135540
7126350003342526204
oct11303464067565324
91537710337686676
10330101000432340
11961a9059035265
123103395118a5b0
13112265106b26a7
145b72d8ba64404
152826a405dbc10
hex12c39a0deead4

330101000432340 has 96 divisors (see below), whose sum is σ = 976966316135040. Its totient is φ = 83047903948800.

The previous prime is 330101000432293. The next prime is 330101000432341. The reversal of 330101000432340 is 43234000101033.

It is a self number, because there is not a number n which added to its sum of digits gives 330101000432340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101000432341) 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, 600476881 + ... + 601026360.

It is an arithmetic number, because the mean of its divisors is an integer number (10176732459740).

Almost surely, 2330101000432340 is an apocalyptic number.

330101000432340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330101000432340 is an abundant number, since it is smaller than the sum of its proper divisors (646865315702700).

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

330101000432340 is a wasteful number, since it uses less digits than its factorization.

330101000432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201503513 (or 1201503511 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330101000432340 its reverse (43234000101033), we get a palindrome (373335000533373).

The spelling of 330101000432340 in words is "three hundred thirty trillion, one hundred one billion, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 241 285 380 482 570 723 964 1140 1205 1446 2410 2892 3615 4579 4820 7230 9158 13737 14460 18316 22895 27474 45790 54948 68685 91580 137370 274740 1201503241 2403006482 3604509723 4806012964 6007516205 7209019446 12015032410 14418038892 18022548615 22828561579 24030064820 36045097230 45657123158 68485684737 72090194460 91314246316 114142807895 136971369474 228285615790 273942738948 289562281081 342428423685 456571231580 579124562162 684856847370 868686843243 1158249124324 1369713694740 1447811405405 1737373686486 2895622810810 3474747372972 4343434216215 5501683340539 5791245621620 8686868432430 11003366681078 16505050021617 17373736864860 22006733362156 27508416702695 33010100043234 55016833405390 66020200086468 82525250108085 110033666810780 165050500216170 330101000432340