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20021100012 = 22325373143743
BaseRepresentation
bin10010101001010110…
…011011110111101100
31220200022020021000200
4102221112123313230
5312000400200022
613110401353500
71306066353654
oct225126336754
956608207020
1020021100012
118544430851
123a69038890
131b70b84954
14d7d019364
157c2a37bac
hex4a959bdec

20021100012 has 72 divisors (see below), whose sum is σ = 52270493184. Its totient is φ = 6458040576.

The previous prime is 20021099981. The next prime is 20021100019. The reversal of 20021100012 is 21000112002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20021099967 and 20021100003.

It is not an unprimeable number, because it can be changed into a prime (20021100019) 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, 67413 + ... + 211155.

It is an arithmetic number, because the mean of its divisors is an integer number (725979072).

Almost surely, 220021100012 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 20021100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26135246592).

20021100012 is an abundant number, since it is smaller than the sum of its proper divisors (32249393172).

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

20021100012 is a wasteful number, since it uses less digits than its factorization.

20021100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143879 (or 143874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20021100012 its reverse (21000112002), we get a palindrome (41021212014).

The spelling of 20021100012 in words is "twenty billion, twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 73 106 146 159 212 219 292 318 438 477 636 657 876 954 1314 1908 2628 3869 7738 11607 15476 23214 34821 46428 69642 139284 143743 287486 431229 574972 862458 1293687 1724916 2587374 5174748 7618379 10493239 15236758 20986478 22855137 30473516 31479717 41972956 45710274 62959434 68565411 91420548 94439151 125918868 137130822 188878302 274261644 377756604 556141667 1112283334 1668425001 2224566668 3336850002 5005275003 6673700004 10010550006 20021100012