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332313302313030 = 235195121292666819
BaseRepresentation
bin100101110001111001011100…
…0010101101010100001000110
31121120121211201102001202000210
41023203302320111222201012
5322024110120343004110
63134434342404220250
7126665562264326523
oct11343627025524106
91546554642052023
10332313302313030
1196981309847295
123133066469a686
1311357018b0656c
145c0c09a35614a
152864371a40520
hex12e3cb856a846

332313302313030 has 64 divisors (see below), whose sum is σ = 798335821670400. Its totient is φ = 88529823782400.

The previous prime is 332313302313019. The next prime is 332313302313037. The reversal of 332313302313030 is 30313203313233.

It is a happy number.

It is a super-2 number, since 2×3323133023130302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332313302313037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123276961 + ... + 125943779.

It is an arithmetic number, because the mean of its divisors is an integer number (12473997213600).

Almost surely, 2332313302313030 is an apocalyptic number.

332313302313030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332313302313030 is an abundant number, since it is smaller than the sum of its proper divisors (466022519357370).

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

332313302313030 is a wasteful number, since it uses less digits than its factorization.

332313302313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670909.

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 332313302313030 its reverse (30313203313233), we get a palindrome (362626505626263).

The spelling of 332313302313030 in words is "three hundred thirty-two trillion, three hundred thirteen billion, three hundred two million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 1951 2129 3902 4258 5853 6387 9755 10645 11706 12774 19510 21290 29265 31935 58530 63870 2666819 4153679 5333638 8000457 8307358 12461037 13334095 16000914 20768395 24922074 26668190 40002285 41536790 62305185 80004570 124610370 5202963869 5677657651 10405927738 11355315302 15608891607 17032972953 26014819345 28388288255 31217783214 34065945906 52029638690 56776576510 78044458035 85164864765 156088916070 170329729530 11077110077101 22154220154202 33231330231303 55385550385505 66462660462606 110771100771010 166156651156515 332313302313030