Search a number
-
+
3300030212101 = 72641767313693
BaseRepresentation
bin110000000001011001001…
…000001110100000000101
3102200110221210001020101221
4300001121020032200011
5413031430213241401
611004002444120341
7460263552660400
oct60013110164005
912613853036357
103300030212101
111062598028857
124536995360b1
131ac2649a919c
14b5a18060d37
155ac948be7a1
hex3005920e805

3300030212101 has 24 divisors (see below), whose sum is σ = 3845581343064. Its totient is φ = 2823610245120.

The previous prime is 3300030212069. The next prime is 3300030212111. The reversal of 3300030212101 is 1012120300033.

It can be written as a sum of positive squares in 4 ways, for example, as 2538442376001 + 761587836100 = 1593249^2 + 872690^2 .

It is not a de Polignac number, because 3300030212101 - 25 = 3300030212069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300030212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240994411 + ... + 241008103.

It is an arithmetic number, because the mean of its divisors is an integer number (160232555961).

Almost surely, 23300030212101 is an apocalyptic number.

It is an amenable number.

3300030212101 is a deficient number, since it is larger than the sum of its proper divisors (545551130963).

3300030212101 is a wasteful number, since it uses less digits than its factorization.

3300030212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22021 (or 22014 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3300030212101 its reverse (1012120300033), we get a palindrome (4312150512134).

The spelling of 3300030212101 in words is "three trillion, three hundred billion, thirty million, two hundred twelve thousand, one hundred one".

Divisors: 1 7 49 641 4487 7673 13693 31409 53711 95851 375977 670957 4918393 8777213 34428751 61440491 105066389 241001257 430083437 735464723 5148253061 67347555349 471432887443 3300030212101