Search a number
-
+
230120352495 = 32511261727953
BaseRepresentation
bin1101011001010000111…
…1011110101011101111
3210222222111001010110100
43112110033132223233
512232241302234440
6253414341442143
722424411502525
oct3262417365357
9728874033410
10230120352495
1189658a37900
1238722a10353
1318914602767
14b1d04d8315
155ebc923230
hex35943deaef

230120352495 has 144 divisors (see below), whose sum is σ = 446701784256. Its totient is φ = 109478476800.

The previous prime is 230120352493. The next prime is 230120352521. The reversal of 230120352495 is 594253021032.

230120352495 is a `hidden beast` number, since 2 + 3 + 0 + 120 + 3 + 524 + 9 + 5 = 666.

It is not a de Polignac number, because 230120352495 - 21 = 230120352493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230120352493) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241468939 + ... + 241469891.

It is an arithmetic number, because the mean of its divisors is an integer number (3102095724).

Almost surely, 2230120352495 is an apocalyptic number.

230120352495 is a deficient number, since it is larger than the sum of its proper divisors (216581431761).

230120352495 is a wasteful number, since it uses less digits than its factorization.

230120352495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 230120352495 in words is "two hundred thirty billion, one hundred twenty million, three hundred fifty-two thousand, four hundred ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 121 165 183 305 363 495 549 605 671 727 915 953 1089 1815 2013 2181 2745 2859 3355 3635 4765 5445 6039 6543 7381 7997 8577 10065 10483 10905 14295 22143 23991 30195 31449 32715 36905 39985 42885 44347 52415 58133 66429 71973 87967 94347 110715 115313 119955 133041 157245 174399 221735 263901 290665 332145 345939 359865 399123 439835 471735 487817 523197 576565 639463 665205 692831 791703 871995 1037817 1319505 1463451 1729695 1918389 1995615 2078493 2439085 2615985 3197315 3464155 3958515 4390353 5189085 5365987 5755167 6235479 7034093 7317255 7621141 9591945 10392465 16097961 21102279 21951765 22863423 26829935 28775835 31177395 35170465 38105705 42262691 48293883 63306837 68590269 80489805 83832551 105511395 114317115 126788073 211313455 241469415 251497653 316534185 342951345 380364219 419162755 464889601 633940365 754492959 1257488265 1394668803 1901821095 2324448005 3772464795 4184006409 5113785611 6973344015 15341356833 20920032045 25568928055 46024070499 76706784165 230120352495