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230021202312 = 233211226402801
BaseRepresentation
bin1101011000111001010…
…1010000000110001000
3210222201120110202222100
43112032111100012020
512232040411433222
6253400440353400
722422065650116
oct3261625200610
9728646422870
10230021202312
1189607a76900
12386b5775860
13188c9bc8a05
14b1c1288ab6
155eb3d8a4ac
hex358e550188

230021202312 has 72 divisors (see below), whose sum is σ = 684756669870. Its totient is φ = 69703392000.

The previous prime is 230021202289. The next prime is 230021202319. The reversal of 230021202312 is 213202120032.

230021202312 is a `hidden beast` number, since 230 + 0 + 2 + 120 + 2 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 186826230756 + 43194971556 = 432234^2 + 207834^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230021202319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13192689 + ... + 13210112.

Almost surely, 2230021202312 is an apocalyptic number.

230021202312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230021202312 is an abundant number, since it is smaller than the sum of its proper divisors (454735467558).

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

230021202312 is a wasteful number, since it uses less digits than its factorization.

230021202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26402835 (or 26402817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230021202312 its reverse (213202120032), we get a palindrome (443223322344).

The spelling of 230021202312 in words is "two hundred thirty billion, twenty-one million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 26402801 52805602 79208403 105611204 158416806 211222408 237625209 290430811 316833612 475250418 580861622 633667224 871292433 950500836 1161723244 1742584866 1901001672 2323446488 2613877299 3194738921 3485169732 5227754598 6389477842 6970339464 9584216763 10455509196 12778955684 19168433526 20911018392 25557911368 28752650289 38336867052 57505300578 76673734104 115010601156 230021202312