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21002002012002 = 23112541264720201
BaseRepresentation
bin1001100011001111010001…
…10111101001011101100010
32202100202211122000200022110
410301213220313221131202
510223044100003341002
6112400104142420150
74265226121422414
oct461475067513542
982322748020273
1021002002012002
116767998684200
1224323b3b91656
13b9463227c65b
145287065249b4
1526649c25ae6c
hex1319e8de9762

21002002012002 has 96 divisors (see below), whose sum is σ = 46274796876672. Its totient is φ = 6349764960000.

The previous prime is 21002002011989. The next prime is 21002002012067. The reversal of 21002002012002 is 20021020020012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039641502 + ... + 1039661702.

It is an arithmetic number, because the mean of its divisors is an integer number (482029134132).

Almost surely, 221002002012002 is an apocalyptic number.

21002002012002 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 21002002012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137398438336).

21002002012002 is an abundant number, since it is smaller than the sum of its proper divisors (25272794864670).

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

21002002012002 is a wasteful number, since it uses less digits than its factorization.

21002002012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23416 (or 23405 counting only the distinct ones).

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

Adding to 21002002012002 its reverse (20021020020012), we get a palindrome (41023022032014).

The spelling of 21002002012002 in words is "twenty-one trillion, two billion, two million, twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 541 726 1082 1623 2647 3246 5294 5951 7941 11902 15882 17853 20201 29117 35706 40402 58234 60603 65461 87351 121206 130922 174702 196383 222211 320287 392766 444422 640574 666633 960861 1333266 1432027 1921722 2444321 2864054 4296081 4888642 7332963 8592162 10928741 14665926 15752297 21857482 31504594 32786223 47256891 53472047 65572446 94513782 106944094 120216151 160416141 173275267 240432302 320832282 346550534 360648453 519825801 588192517 721296906 1039651602 1176385034 1322377661 1764577551 2644755322 3529155102 3967132983 6470117687 7934265966 12940235374 19410353061 28928377427 38820706122 57856754854 86785132281 173570264562 318212151697 636424303394 954636455091 1909272910182 3500333668667 7000667337334 10501001006001 21002002012002