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233002113032231 = 5367499131494819
BaseRepresentation
bin110100111110101000001000…
…001011011110000000100111
31010112222210011212122020210122
4310332220020023132000213
5221020001311414012411
62143315405405512155
7100035563366524004
oct6476501013360047
91115883155566718
10233002113032231
11682727064aa504
122217145427265b
13a00200ac2c94a
1441775107868ab
151be0dbdd4a9db
hexd3ea082de027

233002113032231 has 16 divisors (see below), whose sum is σ = 241424489520000. Its totient is φ = 224742527257248.

The previous prime is 233002113032219. The next prime is 233002113032291. The reversal of 233002113032231 is 132230311200332.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233002113032231 is a prime.

It is a super-3 number, since 3×2330021130322313 (a number of 44 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 233002113032231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233002113032291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63975461 + ... + 67519358.

It is an arithmetic number, because the mean of its divisors is an integer number (15089030595000).

Almost surely, 2233002113032231 is an apocalyptic number.

233002113032231 is a deficient number, since it is larger than the sum of its proper divisors (8422376487769).

233002113032231 is a wasteful number, since it uses less digits than its factorization.

233002113032231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131495438.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 233002113032231 its reverse (132230311200332), we get a palindrome (365232424232563).

The spelling of 233002113032231 in words is "two hundred thirty-three trillion, two billion, one hundred thirteen million, thirty-two thousand, two hundred thirty-one".

Divisors: 1 53 67 499 3551 26447 33433 1771949 131494819 6969225407 8810152873 65615914681 466938102269 3477643478093 4396266283627 233002113032231