Search a number
-
+
330202201320 = 23335597097309
BaseRepresentation
bin1001100111000011001…
…01011011110011101000
31011120022100200211012000
410303201211123303220
520402223230420240
6411405351051000
732566501254405
oct4634145336350
91146270624160
10330202201320
11118046597162
1253bb4070a60
13251a406bc54
1411da63832ac
1588c8e29430
hex4ce195bce8

330202201320 has 256 divisors, whose sum is σ = 1121061600000. Its totient is φ = 86427565056.

The previous prime is 330202201279. The next prime is 330202201361. The reversal of 330202201320 is 23102202033.

It is a happy number.

330202201320 is a `hidden beast` number, since 330 + 202 + 2 + 0 + 132 + 0 = 666.

330202201320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330202201279) and next prime (330202201361).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330202201293 and 330202201302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45173826 + ... + 45181134.

It is an arithmetic number, because the mean of its divisors is an integer number (4379146875).

Almost surely, 2330202201320 is an apocalyptic number.

330202201320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330202201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560530800000).

330202201320 is an abundant number, since it is smaller than the sum of its proper divisors (790859398680).

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

330202201320 is a wasteful number, since it uses less digits than its factorization.

330202201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 330202201320 its reverse (23102202033), we get a palindrome (353304403353).

The spelling of 330202201320 in words is "three hundred thirty billion, two hundred two million, two hundred one thousand, three hundred twenty".