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332232020232233 = 1127138672101063
BaseRepresentation
bin100101110001010011100101…
…1100011001000100000101001
31121120100001220201111012210212
41023202213023203020200221
5322021242134134412413
63134333141051150505
7126656654114126162
oct11342471343104051
91546301821435725
10332232020232233
119694a899171a00
123131895b445435
131134c46419ba74
145c08189202769
1528621b5c20ca8
hex12e29cb8c8829

332232020232233 has 12 divisors (see below), whose sum is σ = 370324039788864. Its totient is φ = 297775178177400.

The previous prime is 332232020232209. The next prime is 332232020232241.

It is a happy number.

332232020232233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332232020232233 - 220 = 332232019183657 is a prime.

It is a super-3 number, since 3×3322320202322333 (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 a self number, because there is not a number n which added to its sum of digits gives 332232020232233.

It is not an unprimeable number, because it can be changed into a prime (332232022232233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19336041941 + ... + 19336059122.

It is an arithmetic number, because the mean of its divisors is an integer number (30860336649072).

Almost surely, 2332232020232233 is an apocalyptic number.

It is an amenable number.

332232020232233 is a deficient number, since it is larger than the sum of its proper divisors (38092019556631).

332232020232233 is a wasteful number, since it uses less digits than its factorization.

332232020232233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38672101156 (or 38672101145 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

The spelling of 332232020232233 in words is "three hundred thirty-two trillion, two hundred thirty-two billion, twenty million, two hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 11 71 121 781 8591 38672101063 425393111693 2745719175473 4679324228623 30202910930203 332232020232233