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20113212121312 = 25191671361145547
BaseRepresentation
bin1001001001010111110001…
…10111010010000011100000
32122012210201100001011002211
410210223320313102003200
510114013324300340222
6110435514310451504
74144063101125332
oct444537067220340
978183640034084
1020113212121312
116454a6898a462
12230a0aa063b94
13b2b88b10472b
144d76adca3452
1524d2cde73277
hex124af8dd20e0

20113212121312 has 96 divisors (see below), whose sum is σ = 41962676071680. Its totient is φ = 9463237908480.

The previous prime is 20113212121273. The next prime is 20113212121363. The reversal of 20113212121312 is 21312121231102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138117723 + ... + 138263269.

It is an arithmetic number, because the mean of its divisors is an integer number (437111209080).

Almost surely, 220113212121312 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 20113212121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981338035840).

20113212121312 is an abundant number, since it is smaller than the sum of its proper divisors (21849463950368).

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

20113212121312 is a wasteful number, since it uses less digits than its factorization.

20113212121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147104 (or 147096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 20113212121312 its reverse (21312121231102), we get a palindrome (41425333352414).

The spelling of 20113212121312 in words is "twenty trillion, one hundred thirteen billion, two hundred twelve million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 167 304 334 608 668 1336 1361 2672 2722 3173 5344 5444 6346 10888 12692 21776 25384 25859 43552 50768 51718 101536 103436 145547 206872 227287 291094 413744 454574 582188 827488 909148 1164376 1818296 2328752 2765393 3636592 4318453 4657504 5530786 7273184 8636906 11061572 17273812 22123144 24306349 34547624 44246288 48612698 69095248 88492576 97225396 138190496 194450792 198089467 388901584 396178934 461820631 777803168 792357868 923641262 1584715736 1847282524 3169431472 3694565048 3763699873 6338862944 7389130096 7527399746 14778260192 15054799492 30109598984 33080940989 60219197968 66161881978 120438395936 132323763956 264647527912 529295055824 628537878791 1058590111648 1257075757582 2514151515164 5028303030328 10056606060656 20113212121312