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20021212002 = 23112122322549
BaseRepresentation
bin10010101001010110…
…110111001101100010
31220200022102221122110
4102221112313031202
5312000412241002
613110404020150
71306100331321
oct225126671542
956608387573
1020021212002
1185444a7a00
123a69091656
131b70bc390c
14d7d0480b8
157c2a5ae6c
hex4a95b7362

20021212002 has 48 divisors (see below), whose sum is σ = 44051515200. Its totient is φ = 6061804320.

The previous prime is 20021211989. The next prime is 20021212007.

20021212002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20021212007) 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, 876624 + ... + 899172.

It is an arithmetic number, because the mean of its divisors is an integer number (917739900).

Almost surely, 220021212002 is an apocalyptic number.

20021212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22025757600).

20021212002 is an abundant number, since it is smaller than the sum of its proper divisors (24030303198).

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

20021212002 is a wasteful number, since it uses less digits than its factorization.

20021212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23799 (or 23788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 20021212002 in words is "twenty billion, twenty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1223 2446 3669 7338 13453 22549 26906 40359 45098 67647 80718 135294 147983 248039 295966 443949 496078 744117 887898 1488234 2728429 5456858 8185287 16370574 27577427 55154854 82732281 165464562 303351697 606703394 910055091 1820110182 3336868667 6673737334 10010606001 20021212002