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20020002012 = 2233415976631
BaseRepresentation
bin10010101001010010…
…001111110011011100
31220200020011110212000
4102221102033303130
5312000110031022
613110322042300
71306054131543
oct225122176334
956606143760
1020020002012
11854385090a
123a687a9390
131b7088bc4a
14d7cc1115a
157c28bc6ac
hex4a948fcdc

20020002012 has 96 divisors (see below), whose sum is σ = 54071539200. Its totient is φ = 6400137600.

The previous prime is 20020002007. The next prime is 20020002017. The reversal of 20020002012 is 21020002002.

It is an interprime number because it is at equal distance from previous prime (20020002007) and next prime (20020002017).

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 = 20020001985 and 20020002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020002017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222937 + ... + 299567.

It is an arithmetic number, because the mean of its divisors is an integer number (563245200).

Almost surely, 220020002012 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 20020002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035769600).

20020002012 is an abundant number, since it is smaller than the sum of its proper divisors (34051537188).

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

20020002012 is a wasteful number, since it uses less digits than its factorization.

20020002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76744 (or 76736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20020002012 its reverse (21020002002), we get a palindrome (41040004014).

The spelling of 20020002012 in words is "twenty billion, twenty million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 59 82 108 118 123 164 177 236 246 354 369 492 531 708 738 1062 1107 1476 1593 2124 2214 2419 3186 4428 4838 6372 7257 9676 14514 21771 29028 43542 65313 76631 87084 130626 153262 229893 261252 306524 459786 689679 919572 1379358 2069037 2758716 3141871 4138074 4521229 6283742 8276148 9042458 9425613 12567484 13563687 18084916 18851226 27127374 28276839 37702452 40691061 54254748 56553678 81382122 84830517 113107356 122073183 162764244 169661034 185370389 244146366 339322068 370740778 488292732 556111167 741481556 1112222334 1668333501 2224444668 3336667002 5005000503 6673334004 10010001006 20020002012