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21002022011982 = 23111927116177803
BaseRepresentation
bin1001100011001111010100…
…00011111100010001001110
32202100202220000122210010110
410301213222003330101032
510223044120113340412
6112400110135220450
74265226453421404
oct461475203742116
982322800583113
1021002022011982
1167679a89a4510
1224323ba817726
13b94636462a6b
1452870904d474
1526649ddabd3c
hex1319ea0fc44e

21002022011982 has 64 divisors (see below), whose sum is σ = 48252108810240. Its totient is φ = 6027063631200.

The previous prime is 21002022011977. The next prime is 21002022011987. The reversal of 21002022011982 is 28911022020012.

It is an interprime number because it is at equal distance from previous prime (21002022011977) and next prime (21002022011987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002022011987) 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, 310693 + ... + 6488495.

It is an arithmetic number, because the mean of its divisors is an integer number (753939200160).

Almost surely, 221002022011982 is an apocalyptic number.

21002022011982 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 21002022011982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24126054405120).

21002022011982 is an abundant number, since it is smaller than the sum of its proper divisors (27250086798258).

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

21002022011982 is a wasteful number, since it uses less digits than its factorization.

21002022011982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180549.

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 21002022011982 its reverse (28911022020012), we get a palindrome (49913044031994).

The spelling of 21002022011982 in words is "twenty-one trillion, two billion, twenty-two million, eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2711 5422 8133 16266 29821 51509 59642 89463 103018 154527 178926 309054 566599 1133198 1699797 3399594 6177803 12355606 18533409 37066818 67955833 117378257 135911666 203867499 234756514 352134771 407734998 704269542 1291160827 2582321654 3873482481 7746964962 16748023933 33496047866 50244071799 100488143598 184228263263 318212454727 368456526526 552684789789 636424909454 954637364181 1105369579578 1909274728362 3500337001997 7000674003994 10501011005991 21002022011982