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332231032133 = 7111312716316033
BaseRepresentation
bin1001101010110101000…
…00110011110101000101
31011202112202022002211222
410311122200303311011
520420402121012013
6412342544010125
733000665115140
oct4653240636505
91152482262758
10332231032133
11118997835840
125447b600945
132543849c060
14121199c5057
1589970d4508
hex4d5a833d45

332231032133 has 64 divisors (see below), whose sum is σ = 452371218432. Its totient is φ = 235616532480.

The previous prime is 332231032051. The next prime is 332231032157. The reversal of 332231032133 is 331230132233.

It is a happy number.

It is not a de Polignac number, because 332231032133 - 212 = 332231028037 is a prime.

It is a super-2 number, since 2×3322310321332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332231032163) 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 63 ways as a sum of consecutive naturals, for example, 20713685 + ... + 20729717.

It is an arithmetic number, because the mean of its divisors is an integer number (7068300288).

Almost surely, 2332231032133 is an apocalyptic number.

It is an amenable number.

332231032133 is a deficient number, since it is larger than the sum of its proper divisors (120140186299).

332231032133 is a wasteful number, since it uses less digits than its factorization.

332231032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 332231032133 its reverse (331230132233), we get a palindrome (663461164366).

The spelling of 332231032133 in words is "three hundred thirty-two billion, two hundred thirty-one million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 11 13 77 91 127 143 163 889 1001 1141 1397 1651 1793 2119 9779 11557 12551 14833 16033 18161 20701 23309 112231 127127 144907 163163 176363 208429 227711 269113 1234541 1459003 1593977 1883791 2036191 2292719 2613379 2960243 14253337 16049033 18293653 20721701 22398101 26470483 28747169 33973927 156786707 185293381 201230183 237817489 291175313 331899133 373713197 2038227191 2323293931 2615992379 3650890463 4314688729 25556233241 30202821103 47461576019 332231032133