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200123312113332 = 223382717771260901
BaseRepresentation
bin101101100000001011010110…
…111011100000011010110100
3222020120121020201010110102000
4231200023112323200122310
5202212310020400111312
61545343214100015300
760103301143063146
oct5540132673403264
9866517221113360
10200123312113332
1158846902536213
121a5412a4391530
13878871670a00a
14375c03cbbac96
1518209eebdbadc
hexb602d6ee06b4

200123312113332 has 96 divisors (see below), whose sum is σ = 519758329991040. Its totient is φ = 66589561382400.

The previous prime is 200123312113327. The next prime is 200123312113339. The reversal of 200123312113332 is 233311213321002.

200123312113332 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 2 + 3 + 312 + 1 + 13 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200123312113296 and 200123312113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200123312113339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158084082 + ... + 159344982.

It is an arithmetic number, because the mean of its divisors is an integer number (5414149270740).

Almost surely, 2200123312113332 is an apocalyptic number.

It is an amenable number.

200123312113332 is an abundant number, since it is smaller than the sum of its proper divisors (319635017877708).

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

200123312113332 is a wasteful number, since it uses less digits than its factorization.

200123312113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263518 (or 1263510 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 200123312113332 its reverse (233311213321002), we get a palindrome (433434525434334).

The spelling of 200123312113332 in words is "two hundred trillion, one hundred twenty-three billion, three hundred twelve million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 827 1654 1777 2481 3308 3554 4962 5331 7108 7443 9924 10662 14886 15993 21324 22329 29772 31986 44658 47979 63972 89316 95958 191916 1260901 1469579 2521802 2939158 3782703 4408737 5043604 5878316 7565406 8817474 11348109 13226211 15130812 17634948 22696218 26452422 34044327 39678633 45392436 52904844 68088654 79357266 136177308 158714532 1042765127 2085530254 2240621077 3128295381 4171060508 4481242154 6256590762 6721863231 8962484308 9384886143 12513181524 13443726462 18769772286 20165589693 26887452924 28154658429 37539544572 40331179386 56309316858 60496769079 80662358772 112618633716 120993538158 241987076316 1852993630679 3705987261358 5558980892037 7411974522716 11117961784074 16676942676111 22235923568148 33353885352222 50030828028333 66707770704444 100061656056666 200123312113332