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12022313010201 = 32131733851178559
BaseRepresentation
bin1010111011110010100110…
…1100100100010000011001
31120120022200122221110112200
42232330221230210100121
53033433144112311301
641322550243200413
72350404060325254
oct256745154442031
946508618843480
1012022313010201
1139156a83006aa
121422008376109
136929123463c0
142d7c5115c09b
1515cadbc7cc86
hexaef29b24419

12022313010201 has 48 divisors (see below), whose sum is σ = 19802152581120. Its totient is φ = 6962904921600.

The previous prime is 12022313010193. The next prime is 12022313010209. The reversal of 12022313010201 is 10201031322021.

12022313010201 is a `hidden beast` number, since 1 + 202 + 231 + 30 + 1 + 0 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (12022313010193) and next prime (12022313010209).

It is not a de Polignac number, because 12022313010201 - 23 = 12022313010193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12022313010209) 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, 67240360 + ... + 67418918.

It is an arithmetic number, because the mean of its divisors is an integer number (412544845440).

Almost surely, 212022313010201 is an apocalyptic number.

It is an amenable number.

12022313010201 is a deficient number, since it is larger than the sum of its proper divisors (7779839570919).

12022313010201 is a wasteful number, since it uses less digits than its factorization.

12022313010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212446 (or 212443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12022313010201 its reverse (10201031322021), we get a palindrome (22223344332222).

The spelling of 12022313010201 in words is "twelve trillion, twenty-two billion, three hundred thirteen million, ten thousand, two hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 33851 101553 178559 304659 440063 535677 575467 1320189 1607031 1726401 2321267 3035503 3960567 5179203 6963801 7481071 9106509 20891403 22443213 27319527 39461539 67329639 118384617 355153851 6044400709 18133202127 54399606381 78577209217 102754812053 235731627651 308264436159 707194882953 924793308477 1335812556689 4007437670067 12022313010201