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20220100002112 = 261073709796091
BaseRepresentation
bin1001001100011110110111…
…11000001100000101000000
32122121000121112110002111211
410212033123320030011000
510122241231100031422
6111000552525015504
74154565633124063
oct446173370140500
978530545402454
1020220100002112
11649632935032a
12232695a6b4594
13b3899392228a
144dc92da168da
15250e87c2b577
hex1263dbe0c140

20220100002112 has 56 divisors (see below), whose sum is σ = 40510224105120. Its totient is φ = 10012850634240.

The previous prime is 20220100002083. The next prime is 20220100002119. The reversal of 20220100002112 is 21120000102202.

It is a happy number.

It is a super-4 number, since 4×202201000021124 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20220100002092 and 20220100002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220100002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25001187 + ... + 25797277.

It is an arithmetic number, because the mean of its divisors is an integer number (723396859020).

Almost surely, 220220100002112 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 20220100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255112052560).

20220100002112 is an abundant number, since it is smaller than the sum of its proper divisors (20290124103008).

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

20220100002112 is a wasteful number, since it uses less digits than its factorization.

20220100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799919 (or 799909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20220100002112 its reverse (21120000102202), we get a palindrome (41340100104314).

The spelling of 20220100002112 in words is "twenty trillion, two hundred twenty billion, one hundred million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 3709 6848 7418 14836 29672 59344 118688 237376 396863 793726 796091 1587452 1592182 3174904 3184364 6349808 6368728 12699616 12737456 25399232 25474912 50949824 85181737 170363474 340726948 681453896 1362907792 2725815584 2952701519 5451631168 5905403038 11810806076 23621612152 47243224304 94486448608 188972897216 315939062533 631878125066 1263756250132 2527512500264 5055025000528 10110050001056 20220100002112