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330000100001 = 111316713818521
BaseRepresentation
bin1001100110101011000…
…10011110101010100001
31011112210021102000021222
410303111202132222201
520401320011200001
6411333331224425
732561465365625
oct4632542365241
91145707360258
10330000100001
11117a524a9480
1253b58448115
132517122a380
1411d875b5185
1588b630761b
hex4cd589eaa1

330000100001 has 16 divisors (see below), whose sum is σ = 390013964928. Its totient is φ = 275264918400.

The previous prime is 330000099941. The next prime is 330000100117. The reversal of 330000100001 is 100001000033.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330000100001 is a prime.

It is a Duffinian number.

330000100001 is a modest number, since divided by 100001 gives 33 as remainder.

It is not an unprimeable number, because it can be changed into a prime (330000102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6885380 + ... + 6933141.

It is an arithmetic number, because the mean of its divisors is an integer number (24375872808).

Almost surely, 2330000100001 is an apocalyptic number.

It is an amenable number.

330000100001 is a deficient number, since it is larger than the sum of its proper divisors (60013864927).

330000100001 is a wasteful number, since it uses less digits than its factorization.

330000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818712.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 330000100001 its reverse (100001000033), we get a palindrome (430001100034).

The spelling of 330000100001 in words is "three hundred thirty billion, one hundred thousand, one".

Divisors: 1 11 13 143 167 1837 2171 23881 13818521 152003731 179640773 1976048503 2307693007 25384623077 30000009091 330000100001