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230123723275575 = 325213114875250451
BaseRepresentation
bin110100010100101111011010…
…110001111011110100110111
31010011210121112221111102110100
4310110233122301323310313
5220130321341124304300
62133233213511525143
766320614250344203
oct6424573261736467
91104717487442410
10230123723275575
1167362a17526578
12219876293897b3
139b5376009841c
1440b80949d5b03
151b910a5b31700
hexd14bdac7bd37

230123723275575 has 72 divisors (see below), whose sum is σ = 415602930352896. Its totient is φ = 121713831720000.

The previous prime is 230123723275561. The next prime is 230123723275631. The reversal of 230123723275575 is 575572327321032.

230123723275575 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 37 + 2 + 32 + 7 + 5 + 575 = 666.

It is not a de Polignac number, because 230123723275575 - 28 = 230123723275319 is a prime.

It is a super-3 number, since 3×2301237232755753 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41204100 + ... + 46454550.

It is an arithmetic number, because the mean of its divisors is an integer number (5772262921568).

Almost surely, 2230123723275575 is an apocalyptic number.

230123723275575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230123723275575 is a deficient number, since it is larger than the sum of its proper divisors (185479207077321).

230123723275575 is a wasteful number, since it uses less digits than its factorization.

230123723275575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252085 (or 5252077 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 54.

The spelling of 230123723275575 in words is "two hundred thirty trillion, one hundred twenty-three billion, seven hundred twenty-three million, two hundred seventy-five thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 131 225 393 655 1179 1487 1965 3275 4461 5895 7435 9825 13383 22305 29475 37175 66915 111525 194797 334575 584391 973985 1753173 2921955 4869925 5250451 8765865 14609775 15751353 26252255 43829325 47254059 78756765 131261275 236270295 393783825 687809081 1181351475 2063427243 3439045405 6190281729 7807420637 10317136215 17195227025 23422261911 30951408645 39037103185 51585681075 70266785733 117111309555 154757043225 195185515925 351333928665 585556547775 1022772103447 1756669643325 3068316310341 5113860517235 9204948931023 15341581551705 25569302586175 46024744655115 76707907758525 230123723275575