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20332213322001 = 37173715110193839
BaseRepresentation
bin1001001111101111101100…
…10110100100000100010001
32122222201222220102211202220
410213313312112210010101
510131110333102301001
6111124253450331253
74165645125456030
oct447676626440421
978881886384686
1020332213322001
1165299303a69a9
122344629129b29
13b4641cbc1a09
14504127752717
15253d4a61cc36
hex127df65a4111

20332213322001 has 64 divisors (see below), whose sum is σ = 33914661027840. Its totient is φ = 10568971238400.

The previous prime is 20332213321991. The next prime is 20332213322011. The reversal of 20332213322001 is 10022331223302.

It is an interprime number because it is at equal distance from previous prime (20332213321991) and next prime (20332213322011).

It is not a de Polignac number, because 20332213322001 - 25 = 20332213321969 is a prime.

It is a super-2 number, since 2×203322133220012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20332213322011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3102361 + ... + 7091478.

It is an arithmetic number, because the mean of its divisors is an integer number (529916578560).

Almost surely, 220332213322001 is an apocalyptic number.

20332213322001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20332213322001 is a deficient number, since it is larger than the sum of its proper divisors (13582447705839).

20332213322001 is a wasteful number, since it uses less digits than its factorization.

20332213322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194054.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20332213322001 its reverse (10022331223302), we get a palindrome (30354544545303).

The spelling of 20332213322001 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirteen million, three hundred twenty-two thousand, one".

Divisors: 1 3 7 17 21 37 51 111 119 151 259 357 453 629 777 1057 1887 2567 3171 4403 5587 7701 13209 16761 17969 39109 53907 94979 117327 284937 664853 1994559 10193839 30581517 71356873 173295263 214070619 377172043 519885789 1131516129 1213066841 1539269689 2640204301 3639200523 4617809067 6411924731 7920612903 10774887823 19235774193 26167584713 32324663469 44883473117 56952978493 78502754139 134650419351 170858935479 183173092991 398670849451 549519278973 968200634381 1196012548353 2904601903143 6777404440667 20332213322001