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20001022130100 = 22352116060915797
BaseRepresentation
bin1001000110000110110011…
…10100011011011110110100
32121211002010121210002120010
410203003121310123132310
510110144043131130400
6110312202005540220
74133011655003004
oct443033164333664
977732117702503
1020001022130100
116411427626560
1222b03b9a14670
13b2111bc9ba4b
144d20a9cca004
1524a414989450
hex1230d9d1b7b4

20001022130100 has 72 divisors (see below), whose sum is σ = 63130498951968. Its totient is φ = 4848732636800.

The previous prime is 20001022130087. The next prime is 20001022130107. The reversal of 20001022130100 is 103122010002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001022130107) 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 23 ways as a sum of consecutive naturals, for example, 3030454599 + ... + 3030461198.

It is an arithmetic number, because the mean of its divisors is an integer number (876812485444).

Almost surely, 220001022130100 is an apocalyptic number.

20001022130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001022130100 is an abundant number, since it is smaller than the sum of its proper divisors (43129476821868).

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

20001022130100 is a wasteful number, since it uses less digits than its factorization.

20001022130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060915825 (or 6060915818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20001022130100 its reverse (103122010002), we get a palindrome (20104144140102).

The spelling of 20001022130100 in words is "twenty trillion, one billion, twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6060915797 12121831594 18182747391 24243663188 30304578985 36365494782 60609157970 66670073767 72730989564 90913736955 121218315940 133340147534 151522894925 181827473910 200010221301 266680295068 303045789850 333350368835 363654947820 400020442602 454568684775 606091579700 666700737670 800040885204 909137369550 1000051106505 1333401475340 1666751844175 1818274739100 2000102213010 3333503688350 4000204426020 5000255532525 6667007376700 10000511065050 20001022130100