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203332331312 = 2411192310325667
BaseRepresentation
bin1011110101011110001…
…1010010011100110000
3201102211120122122200122
42331113203102130300
511312411034100222
6233224245305412
720455523204435
oct2752743223460
9642746578618
10203332331312
1179261889020
12334a7705268
1316235811656
149bac8b5b8c
155450cb1a42
hex2f578d2730

203332331312 has 160 divisors (see below), whose sum is σ = 476660920320. Its totient is φ = 82936085760.

The previous prime is 203332331269. The next prime is 203332331317. The reversal of 203332331312 is 213133233302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (203332331317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7909103 + ... + 7934769.

It is an arithmetic number, because the mean of its divisors is an integer number (2979130752).

Almost surely, 2203332331312 is an apocalyptic number.

203332331312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203332331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238330460160).

203332331312 is an abundant number, since it is smaller than the sum of its proper divisors (273328589008).

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

203332331312 is a wasteful number, since it uses less digits than its factorization.

203332331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25831 (or 25825 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 203332331312 its reverse (213133233302), we get a palindrome (416465564614).

The spelling of 203332331312 in words is "two hundred three billion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 103 152 176 184 206 209 253 304 368 412 418 437 506 824 836 874 1012 1133 1648 1672 1748 1957 2024 2266 2369 3344 3496 3914 4048 4532 4738 4807 6992 7828 9064 9476 9614 15656 18128 18952 19228 21527 25667 26059 31312 37904 38456 43054 45011 51334 52118 76912 86108 90022 102668 104236 172216 180044 205336 208472 282337 344432 360088 410672 416944 487673 495121 564674 590341 720176 975346 990242 1129348 1180682 1950692 1980484 2258696 2361364 2643701 3901384 3960968 4517392 4722728 5287402 5364403 6493751 7802768 7921936 9445456 10574804 10728806 11216479 12987502 21149608 21457612 22432958 25975004 29080711 42299216 42915224 44865916 50230319 51950008 58161422 60805123 85830448 89731832 100460638 103900016 116322844 121610246 123381269 179463664 200921276 232645688 243220492 246762538 401842552 465291376 486440984 493525076 552533509 668856353 803685104 972881968 987050152 1105067018 1155297337 1337712706 1974100304 2210134036 2310594674 2675425412 4420268072 4621189348 5350850824 8840536144 9242378696 10701701648 12708270707 18484757392 25416541414 50833082828 101666165656 203332331312