Search a number
-
+
102223213202133 = 3264797911792981
BaseRepresentation
bin10111001111100010110010…
…010011111000101011010101
3111101221102222111011220200100
4113033202302103320223111
5101344311120034432013
61001224410145204313
730350245342435422
oct2717426223705325
9441842874156610
10102223213202133
112a631691998531
12b56b663330699
1345067b8cb5b3a
141b358b66ccd49
15bc40d8ae7473
hex5cf8b24f8ad5

102223213202133 has 24 divisors (see below), whose sum is σ = 147899154963456. Its totient is φ = 68036490799200.

The previous prime is 102223213202129. The next prime is 102223213202161. The reversal of 102223213202133 is 331202312322201.

102223213202133 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 321 + 3 + 202 + 133 = 666.

It is not a de Polignac number, because 102223213202133 - 22 = 102223213202129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102223213202097 and 102223213202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223213702133) 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, 56116503 + ... + 57909483.

It is an arithmetic number, because the mean of its divisors is an integer number (6162464790144).

Almost surely, 2102223213202133 is an apocalyptic number.

It is an amenable number.

102223213202133 is a deficient number, since it is larger than the sum of its proper divisors (45675941761323).

102223213202133 is a wasteful number, since it uses less digits than its factorization.

102223213202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803425 (or 1803422 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102223213202133 its reverse (331202312322201), we get a palindrome (433425525524334).

The spelling of 102223213202133 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred thirteen million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 647 1941 5823 9791 29373 88119 1792981 5378943 6334777 16136829 19004331 57012993 1160058707 3480176121 10440528363 17555076971 52665230913 157995692739 11358134800237 34074404400711 102223213202133