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21022000330023 = 32711191169993479
BaseRepresentation
bin1001100011110100100001…
…10111001011010100100111
32202102200110100101111022200
410301322100313023110213
510223411024041030043
6112413212412025543
74266534523342530
oct461722067132447
982380410344280
1021022000330023
116775420164560
1224362554622b3
13b9649b4b8824
145296824cd687
15266c6cc937d3
hex131e90dcb527

21022000330023 has 96 divisors (see below), whose sum is σ = 38078816256000. Its totient is φ = 10856834049600.

The previous prime is 21022000330021. The next prime is 21022000330069. The reversal of 21022000330023 is 32003300022012.

It is a happy number.

It is not a de Polignac number, because 21022000330023 - 21 = 21022000330021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21022000329978 and 21022000330005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022000330021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224837998 + ... + 224931476.

It is an arithmetic number, because the mean of its divisors is an integer number (396654336000).

Almost surely, 221022000330023 is an apocalyptic number.

21022000330023 is a deficient number, since it is larger than the sum of its proper divisors (17056815925977).

21022000330023 is a wasteful number, since it uses less digits than its factorization.

21022000330023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95393 (or 95390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21022000330023 its reverse (32003300022012), we get a palindrome (53025300352035).

The spelling of 21022000330023 in words is "twenty-one trillion, twenty-two billion, three hundred thirty thousand, twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 191 231 573 693 1337 1699 1719 2101 4011 5097 6303 11893 12033 14707 15291 18689 18909 35679 44121 56067 93479 107037 130823 132363 168201 280437 324509 392469 654353 841311 973527 1028269 1177407 1963059 2271563 2920581 3084807 3569599 5889177 6814689 7197883 9254421 10708797 17854489 20444067 21593649 24987193 32126391 53563467 64780947 74961579 124981423 158820821 160690401 196399379 224884737 374944269 476462463 589198137 1111745747 1124832807 1374795653 1429387389 1747029031 1767594411 3335237241 4124386959 5241087093 10005711723 12229203217 12373160877 15723261279 30334776811 36687609651 91004330433 110062828953 212343437677 273012991299 333682544921 637030313031 1001047634763 1911090939093 2335777814447 3003142904289 7007333443341 21022000330023