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3320130033 = 331127740357
BaseRepresentation
bin1100010111100101…
…0010100111110001
322120101102002012000
43011321102213301
523244423130113
61305241524213
7145163432253
oct30571224761
98511362160
103320130033
111454143920
12787aa3669
1340bb0c9ac
14236d39cd3
1514672c373
hexc5e529f1

3320130033 has 32 divisors (see below), whose sum is σ = 5385371520. Its totient is φ = 2004886080.

The previous prime is 3320130029. The next prime is 3320130041. The reversal of 3320130033 is 3300310233.

3320130033 is a `hidden beast` number, since 332 + 0 + 1 + 300 + 33 = 666.

It is not a de Polignac number, because 3320130033 - 22 = 3320130029 is a prime.

It is a super-2 number, since 2×33201300332 = 22046526872057162178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3320129988 and 3320130015.

It is not an unprimeable number, because it can be changed into a prime (3320130013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62091 + ... + 102447.

It is an arithmetic number, because the mean of its divisors is an integer number (168292860).

Almost surely, 23320130033 is an apocalyptic number.

3320130033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3320130033 is a deficient number, since it is larger than the sum of its proper divisors (2065241487).

3320130033 is a wasteful number, since it uses less digits than its factorization.

3320130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40654 (or 40648 counting only the distinct ones).

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

The square root of 3320130033 is about 57620.5695303335. The cubic root of 3320130033 is about 1491.8266612457.

Adding to 3320130033 its reverse (3300310233), we get a palindrome (6620440266).

The spelling of 3320130033 in words is "three billion, three hundred twenty million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 9 11 27 33 99 277 297 831 2493 3047 7479 9141 27423 40357 82269 121071 363213 443927 1089639 1331781 3995343 11178889 11986029 33536667 100610001 122967779 301830003 368903337 1106710011 3320130033