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20010200120192 = 2753223100913109
BaseRepresentation
bin1001000110010111111001…
…10111101011101110000000
32121211221211020210022002002
410203023330313223232000
510110321342212321232
6110320320430043132
74133455261431422
oct443137467535600
977757736708062
1020010200120192
116415307337337
1222b213b6494a8
13b21c5259b109
144d26dabd4812
1524a7a05c3b62
hex1232fcdebb80

20010200120192 has 128 divisors (see below), whose sum is σ = 40841908128000. Its totient is φ = 9761875329024.

The previous prime is 20010200120191. The next prime is 20010200120243. The reversal of 20010200120192 is 29102100201002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×200102001201922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010200120191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526440934 + ... + 1526454042.

It is an arithmetic number, because the mean of its divisors is an integer number (319077407250).

Almost surely, 220010200120192 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 20010200120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20420954064000).

20010200120192 is an abundant number, since it is smaller than the sum of its proper divisors (20831708007808).

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

20010200120192 is a wasteful number, since it uses less digits than its factorization.

20010200120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14408 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 20010200120192 its reverse (29102100201002), we get a palindrome (49112300321194).

The spelling of 20010200120192 in words is "twenty trillion, ten billion, two hundred million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 223 424 446 848 892 1009 1696 1784 2018 3392 3568 4036 6784 7136 8072 11819 13109 14272 16144 23638 26218 28544 32288 47276 52436 53477 64576 94552 104872 106954 129152 189104 209744 213908 225007 378208 419488 427816 450014 694777 756416 838976 855632 900028 1389554 1512832 1677952 1711264 1800056 2779108 2923307 3422528 3600112 5558216 5846614 6845056 7200224 11116432 11693228 11925371 13226981 14400448 22232864 23386456 23850742 26453962 28800896 44465728 46772912 47701484 52907924 88931456 93545824 95402968 105815848 154935271 187091648 190805936 211631696 309870542 374183296 381611872 423263392 619741084 701029993 763223744 846526784 1239482168 1402059986 1526447488 1693053568 2478964336 2804119972 2949616763 4957928672 5608239944 5899233526 9915857344 11216479888 11798467052 19831714688 22432959776 23596934104 44865919552 47193868208 89731839104 94387736416 156329688439 188775472832 312659376878 377550945664 625318753756 1250637507512 2501275015024 5002550030048 10005100060096 20010200120192