Search a number
-
+
102113203130 = 25415321122271
BaseRepresentation
bin101111100011001101…
…0111101001110111010
3100202120110000011222022
41133012122331032322
53133111440000010
6114524332154442
710243313622401
oct1370632751672
9322513004868
10102113203130
113a340271974
1217959608a22
1398245710b3
144d29986638
1529c9a0dd55
hex17c66bd3ba

102113203130 has 64 divisors (see below), whose sum is σ = 192757211136. Its totient is φ = 38910144000.

The previous prime is 102113203123. The next prime is 102113203133. The reversal of 102113203130 is 31302311201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102113203099 and 102113203108.

It is not an unprimeable number, because it can be changed into a prime (102113203133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4573895 + ... + 4596165.

It is an arithmetic number, because the mean of its divisors is an integer number (3011831424).

Almost surely, 2102113203130 is an apocalyptic number.

102113203130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102113203130 is a deficient number, since it is larger than the sum of its proper divisors (90644008006).

102113203130 is a wasteful number, since it uses less digits than its factorization.

102113203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22583.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102113203130 its reverse (31302311201), we get a palindrome (133415514331).

The spelling of 102113203130 in words is "one hundred two billion, one hundred thirteen million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 5 10 41 53 82 106 205 211 265 410 422 530 1055 2110 2173 4346 8651 10865 11183 17302 21730 22271 22366 43255 44542 55915 86510 111355 111830 222710 458503 913111 917006 1180363 1826222 2292515 2360726 4565555 4585030 4699181 5901815 9131110 9398362 11803630 23495905 46991810 48394883 96789766 192666421 241974415 249056593 385332842 483948830 498113186 963332105 1245282965 1926664210 2490565930 10211320313 20422640626 51056601565 102113203130