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203105031212112 = 24319214461810539
BaseRepresentation
bin101110001011100100010011…
…001111001100110001010000
3222122010122120211122201210120
4232023210103033030301100
5203110133100442241422
61555545055132230240
760531566004202161
oct5613442317146120
9878118524581716
10203105031212112
11597963a6200267
121a94314800b380
138943950a679b3
14382249bc45768
15187336458c45c
hexb8b9133ccc50

203105031212112 has 120 divisors (see below), whose sum is σ = 553795560753120. Its totient is φ = 64133916514560.

The previous prime is 203105031212053. The next prime is 203105031212119. The reversal of 203105031212112 is 211212130501302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203105031212119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250174939 + ... + 250985477.

It is an arithmetic number, because the mean of its divisors is an integer number (4614963006276).

Almost surely, 2203105031212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203105031212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276897780376560).

203105031212112 is an abundant number, since it is smaller than the sum of its proper divisors (350690529541008).

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

203105031212112 is a wasteful number, since it uses less digits than its factorization.

203105031212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825049 (or 825024 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 203105031212112 its reverse (211212130501302), we get a palindrome (414317161713414).

The spelling of 203105031212112 in words is "two hundred three trillion, one hundred five billion, thirty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 4332 5776 8664 14461 17328 28922 43383 57844 86766 115688 173532 231376 274759 347064 549518 694128 810539 824277 1099036 1621078 1648554 2198072 2431617 3242156 3297108 4396144 4863234 5220421 6484312 6594216 9726468 10440842 12968624 13188432 15400241 15661263 19452936 20881684 30800482 31322526 38905872 41763368 46200723 61600964 62645052 83526736 92401446 123201928 125290104 184802892 246403856 250580208 292604579 369605784 585209158 739211568 877813737 1170418316 1755627474 2340836632 3511254948 4681673264 7022509896 11721204479 14045019792 23442408958 35163613437 46884817916 70327226874 93769635832 140654453748 187539271664 222702885101 281308907496 445405770202 562617814992 668108655303 890811540404 1336217310606 1781623080808 2672434621212 3563246161616 4231354816919 5344869242424 8462709633838 10689738484848 12694064450757 16925419267676 25388128901514 33850838535352 50776257803028 67701677070704 101552515606056 203105031212112