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331000232233032 = 23324597225447681
BaseRepresentation
bin100101101000010101111111…
…1010000110100100001001000
31121101222022110022001102122200
41023100223333100310201020
5321341101433422424112
63131551224003320200
7126501656214651465
oct11320537720644110
91541868408042580
10331000232233032
1196515456a3459a
123115a090080060
1311290259c7139b
145ba46d4ddc66c
152840120473cdc
hex12d0aff434848

331000232233032 has 24 divisors (see below), whose sum is σ = 896458962297990. Its totient is φ = 110333410744320.

The previous prime is 331000232232991. The next prime is 331000232233081. The reversal of 331000232233032 is 230332232000133.

331000232233032 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 0 + 0 + 2 + 322 + 330 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298080017820036 + 32920214412996 = 17264994^2 + 5737614^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3310002322330322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331000232232987 and 331000232233005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2298612723769 + ... + 2298612723912.

Almost surely, 2331000232233032 is an apocalyptic number.

It is an amenable number.

331000232233032 is an abundant number, since it is smaller than the sum of its proper divisors (565458730064958).

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

331000232233032 is a wasteful number, since it uses less digits than its factorization.

331000232233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597225447693 (or 4597225447686 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 331000232233032 its reverse (230332232000133), we get a palindrome (561332464233165).

The spelling of 331000232233032 in words is "three hundred thirty-one trillion, two hundred thirty-two million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4597225447681 9194450895362 13791676343043 18388901790724 27583352686086 36777803581448 41375029029129 55166705372172 82750058058258 110333410744344 165500116116516 331000232233032