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332402222100401 = 2922288135142713
BaseRepresentation
bin100101110010100010110110…
…0010111101110111110110001
31121120221100020101022221222222
41023211011230113232332301
5322032034222324203101
63134543250040010425
7130005160636132235
oct11345055427567661
91546840211287888
10332402222100401
1196a05a99738672
123134593b760a15
1311362519bb556b
145c124d39c65c5
15286682814401b
hex12e516c5eefb1

332402222100401 has 8 divisors (see below), whose sum is σ = 343864588835880. Its totient is φ = 320939870108032.

The previous prime is 332402222100341. The next prime is 332402222100409. The reversal of 332402222100401 is 104001222204233.

It can be written as a sum of positive squares in 4 ways, for example, as 132163166258176 + 200239055842225 = 11496224^2 + 14150585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332402222100401 is a prime.

It is a super-3 number, since 3×3324022221004013 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332402222100409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62064221 + ... + 67206933.

It is an arithmetic number, because the mean of its divisors is an integer number (42983073604485).

Almost surely, 2332402222100401 is an apocalyptic number.

It is an amenable number.

332402222100401 is a deficient number, since it is larger than the sum of its proper divisors (11462366735479).

332402222100401 is a wasteful number, since it uses less digits than its factorization.

332402222100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371555.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 332402222100401 its reverse (104001222204233), we get a palindrome (436403444304634).

The spelling of 332402222100401 in words is "three hundred thirty-two trillion, four hundred two billion, two hundred twenty-two million, one hundred thousand, four hundred one".

Divisors: 1 29 2228813 5142713 64635577 149138677 11462145589669 332402222100401