Search a number
-
+
332101430220132 = 223324231269093373
BaseRepresentation
bin100101110000010110110001…
…1110001110001010101100100
31121112212120211200100020202000
41023200231203301301111210
5322012122212114021012
63134153142454045300
7126644352014262006
oct11340554361612544
91545776750306660
10332101430220132
11968aa475546a71
12312b7595049830
1311340051cb7861
145c01b1b630376
15285dac11b3ddc
hex12e0b63c71564

332101430220132 has 48 divisors (see below), whose sum is σ = 861359054801280. Its totient is φ = 110654789291424.

The previous prime is 332101430220121. The next prime is 332101430220137. The reversal of 332101430220132 is 231022034101233.

332101430220132 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 0 + 1 + 430 + 220 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×3321014302201322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 332101430220096 and 332101430220105.

It is not an unprimeable number, because it can be changed into a prime (332101430220137) 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 15 ways as a sum of consecutive naturals, for example, 634285003 + ... + 634808370.

It is an arithmetic number, because the mean of its divisors is an integer number (17944980308360).

Almost surely, 2332101430220132 is an apocalyptic number.

It is an amenable number.

332101430220132 is an abundant number, since it is smaller than the sum of its proper divisors (529257624581148).

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

332101430220132 is a wasteful number, since it uses less digits than its factorization.

332101430220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269095809 (or 1269095801 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 332101430220132 its reverse (231022034101233), we get a palindrome (563123464321365).

The spelling of 332101430220132 in words is "three hundred thirty-two trillion, one hundred one billion, four hundred thirty million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2423 4846 7269 9692 14538 21807 29076 43614 65421 87228 130842 261684 1269093373 2538186746 3807280119 5076373492 7614560238 11421840357 15229120476 22843680714 34265521071 45687361428 68531042142 137062084284 3075013242779 6150026485558 9225039728337 12300052971116 18450079456674 27675119185011 36900158913348 55350238370022 83025357555033 110700476740044 166050715110066 332101430220132