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10200122033321 = 1126726330715583
BaseRepresentation
bin1001010001101110011010…
…1001101000010010101001
31100010010022001010212120102
42110123212221220102221
52314104322220031241
633405512114435145
72101635350511503
oct224334651502251
940103261125512
1010200122033321
113282935a75700
121188a28292ab5
1358cb37833c5c
1427398d4d8d73
1512a4dde7039b
hex946e6a684a9

10200122033321 has 48 divisors (see below), whose sum is σ = 11460251185152. Its totient is φ = 9069483155040.

The previous prime is 10200122033317. The next prime is 10200122033359. The reversal of 10200122033321 is 12333022100201.

It is not a de Polignac number, because 10200122033321 - 22 = 10200122033317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200122033293 and 10200122033302.

It is not an unprimeable number, because it can be changed into a prime (10200122035321) 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, 654559496 + ... + 654575078.

It is an arithmetic number, because the mean of its divisors is an integer number (238755233024).

Almost surely, 210200122033321 is an apocalyptic number.

10200122033321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200122033321 is a deficient number, since it is larger than the sum of its proper divisors (1260129151831).

10200122033321 is a wasteful number, since it uses less digits than its factorization.

10200122033321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16242 (or 16231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10200122033321 its reverse (12333022100201), we get a palindrome (22533144133522).

The spelling of 10200122033321 in words is "ten trillion, two hundred billion, one hundred twenty-two million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 11 67 121 263 307 737 2893 3377 8107 15583 17621 20569 31823 37147 80741 171413 193831 226259 888151 1044061 1885543 2132141 2488849 4098329 4783981 5409647 9769661 11484671 45081619 52623791 59506117 126331381 274588043 320526727 495897809 578861701 654567287 1258187003 3020468473 3525793997 13840057033 33225153203 38783733967 84298529201 152240627363 927283821211 10200122033321