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21002201230014 = 23219131803958313
BaseRepresentation
bin1001100011001111101001…
…01111100110101010111110
32202100210100111220000001100
410301213310233212222332
510223100002003330024
6112400140020353530
74265234060642064
oct461476457465276
982323314800040
1021002201230014
116767a90082694
12243244a8458a6
13b94664621a34
14528724b82034
152664ae9ad7c9
hex1319f4be6abe

21002201230014 has 96 divisors (see below), whose sum is σ = 48272235897600. Its totient is φ = 6580714458240.

The previous prime is 21002201230013. The next prime is 21002201230037. The reversal of 21002201230014 is 41003210220012.

It is a happy number.

21002201230014 is a `hidden beast` number, since 210 + 0 + 220 + 1 + 230 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002201230013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360134122 + ... + 360192434.

It is an arithmetic number, because the mean of its divisors is an integer number (502835790600).

Almost surely, 221002201230014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002201230014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24136117948800).

21002201230014 is an abundant number, since it is smaller than the sum of its proper divisors (27270034667586).

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

21002201230014 is a wasteful number, since it uses less digits than its factorization.

21002201230014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66510 (or 66507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21002201230014 its reverse (41003210220012), we get a palindrome (62005411450026).

The spelling of 21002201230014 in words is "twenty-one trillion, two billion, two hundred one million, two hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 262 342 393 786 1179 2358 2489 4978 7467 8039 14934 16078 22401 24117 44802 48234 58313 72351 116626 144702 152741 174939 305482 349878 458223 524817 916446 1049634 1053109 1107947 1374669 2106218 2215894 2749338 3159327 3323841 6318654 6647682 7639003 9477981 9971523 15278006 18955962 19943046 20009071 22917009 40018142 45834018 60027213 68751027 120054426 137502054 145141057 180081639 290282114 360163278 435423171 468778207 870846342 937556414 1306269513 1406334621 2612539026 2812669242 4219003863 8438007726 8906785933 17813571866 26720357799 53440715598 61409945117 80161073397 122819890234 160322146794 184229835351 368459670702 552689506053 1105379012106 1166788957223 2333577914446 3500366871669 7000733743338 10501100615007 21002201230014