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331022232001233 = 321915971212149359
BaseRepresentation
bin100101101000100000001111…
…0100011010001101011010001
31121102001102020111111110011100
41023101000132203101223101
5321341432012343014413
63132005303010535013
7126503365331623413
oct11321003643215321
91542042214443140
10331022232001233
1196523816262003
12311623ab897469
1311292354a419c6
145ba57c0b1c9b3
1528409aba58a73
hex12d101e8d1ad1

331022232001233 has 24 divisors (see below), whose sum is σ = 503623816092800. Its totient is φ = 208935760539744.

The previous prime is 331022232001189. The next prime is 331022232001327. The reversal of 331022232001233 is 332100232220133.

331022232001233 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 2 + 223 + 200 + 1 + 233 = 666.

It is not a de Polignac number, because 331022232001233 - 29 = 331022232000721 is a prime.

It is a super-2 number, since 2×3310222320012332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331022232001197 and 331022232001206.

It is not an unprimeable number, because it can be changed into a prime (331022232001033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605801593 + ... + 606347766.

Almost surely, 2331022232001233 is an apocalyptic number.

It is an amenable number.

331022232001233 is a deficient number, since it is larger than the sum of its proper divisors (172601584091567).

331022232001233 is a wasteful number, since it uses less digits than its factorization.

331022232001233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212150981 (or 1212150978 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 331022232001233 its reverse (332100232220133), we get a palindrome (663122464221366).

The spelling of 331022232001233 in words is "three hundred thirty-one trillion, twenty-two billion, two hundred thirty-two million, one thousand, two hundred thirty-three".

Divisors: 1 3 9 19 57 171 1597 4791 14373 30343 91029 273087 1212149359 3636448077 10909344231 23030837821 69092513463 207277540389 1935802526323 5807407578969 17422222736907 36780248000137 110340744000411 331022232001233