Search a number
-
+
102220202201101 = 17491911287108301
BaseRepresentation
bin10111001111011111111110…
…110101110101000000001101
3111101221011012122110012202121
4113033133332311311000031
5101344233433230413401
61001223151305052541
730350110621363645
oct2717377665650015
9441834178405677
10102220202201101
112a6303872a3926
12b56ab62a87151
13450642924c21a
141b356ac861525
15bc3eae5cdca1
hex5cf7fed7500d

102220202201101 has 16 divisors (see below), whose sum is σ = 108265749154560. Its totient is φ = 96178280774400.

The previous prime is 102220202201099. The next prime is 102220202201107. The reversal of 102220202201101 is 101102202022201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102220202201101 - 21 = 102220202201099 is a prime.

It is a super-2 number, since 2×1022202022011012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220202201107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943798651 + ... + 943906951.

It is an arithmetic number, because the mean of its divisors is an integer number (6766609322160).

Almost surely, 2102220202201101 is an apocalyptic number.

It is an amenable number.

102220202201101 is a deficient number, since it is larger than the sum of its proper divisors (6045546953459).

102220202201101 is a wasteful number, since it uses less digits than its factorization.

102220202201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124524.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102220202201101 its reverse (101102202022201), we get a palindrome (203322404223302).

The spelling of 102220202201101 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, two hundred one thousand, one hundred one".

Divisors: 1 17 4919 11287 83623 108301 191879 1841117 55520753 532732619 943852801 1222393387 9056454523 20780687579 6012953070653 102220202201101