Search a number
-
+
10200220000101 = 324143642857503
BaseRepresentation
bin1001010001101110110001…
…1111010101111101100101
31100010010112212111002201200
42110123230133111331211
52314110022310000401
633405525534313113
72101640650305105
oct224335437257545
940103485432650
1010200220000101
1132829862a858a
121188a55058799
1358cb51c15171
1427399c51b205
1512a4e7872686
hex946ec7d5f65

10200220000101 has 24 divisors (see below), whose sum is σ = 15444008676096. Its totient is φ = 6480003620160.

The previous prime is 10200220000097. The next prime is 10200220000163. The reversal of 10200220000101 is 10100002200201.

It is not a de Polignac number, because 10200220000101 - 22 = 10200220000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200220000181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321412885 + ... + 321444618.

It is an arithmetic number, because the mean of its divisors is an integer number (643500361504).

Almost surely, 210200220000101 is an apocalyptic number.

It is an amenable number.

10200220000101 is a deficient number, since it is larger than the sum of its proper divisors (5243788675995).

10200220000101 is a wasteful number, since it uses less digits than its factorization.

10200220000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642857593 (or 642857590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200220000101 its reverse (10100002200201), we get a palindrome (20300222200302).

The spelling of 10200220000101 in words is "ten trillion, two hundred billion, two hundred twenty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 41 43 123 129 369 387 1763 5289 15867 642857503 1928572509 5785717527 26357157623 27642872629 79071472869 82928617887 237214418607 248785853661 1133357777789 3400073333367 10200220000101