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103301030332332 = 223272317822814067
BaseRepresentation
bin10111011111001110100101…
…001101111100011110101100
3111112202111000102021010201200
4113133032211031330132230
5102014441002231113312
61003411501015005500
730521152555044240
oct2737164515743654
9445674012233650
10103301030332332
112aa077a2630078
12b704522069890
1345843260a1c41
141b71b21a12420
15be216bd960dc
hex5df3a537c7ac

103301030332332 has 72 divisors (see below), whose sum is σ = 311400207396096. Its totient is φ = 28231337480544.

The previous prime is 103301030332303. The next prime is 103301030332337. The reversal of 103301030332332 is 233233030103301.

103301030332332 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 1 + 0 + 303 + 323 + 32 = 666.

It is a super-2 number, since 2×1033010303323322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103301030332296 and 103301030332305.

It is not an unprimeable number, because it can be changed into a prime (103301030332337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8911401238 + ... + 8911412829.

Almost surely, 2103301030332332 is an apocalyptic number.

103301030332332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103301030332332 is an abundant number, since it is smaller than the sum of its proper divisors (208099177063764).

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

103301030332332 is a wasteful number, since it uses less digits than its factorization.

103301030332332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17822814107 (or 17822814102 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103301030332332 its reverse (233233030103301), we get a palindrome (336534060435633).

The spelling of 103301030332332 in words is "one hundred three trillion, three hundred one billion, thirty million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 17822814067 35645628134 53468442201 71291256268 106936884402 124759698469 160405326603 213873768804 249519396938 320810653206 374279095407 409924723541 499038793876 641621306412 748558190814 819849447082 1122837286221 1229774170623 1497116381628 1639698894164 2245674572442 2459548341246 2869473064787 3689322511869 4491349144884 4919096682492 5738946129574 7378645023738 8608419194361 11477892259148 14757290047476 17216838388722 25825257583083 34433676777444 51650515166166 103301030332332