Search a number
-
+
102300032322 = 234797993439
BaseRepresentation
bin101111101000110001…
…1101001110101000010
3100210001110120002110000
41133101203221311002
53134002302013242
6114555044420430
710251042633045
oct1372143516502
9323043502400
10102300032322
113a426779464
12179b00a7716
139854196507
144d466dac5c
1529db115a4c
hex17d18e9d42

102300032322 has 40 divisors (see below), whose sum is σ = 232129497600. Its totient is φ = 33668360856.

The previous prime is 102300032273. The next prime is 102300032323. The reversal of 102300032322 is 223230003201.

It is a happy number.

102300032322 is a `hidden beast` number, since 10 + 2 + 300 + 0 + 32 + 322 = 666.

It is a super-2 number, since 2×1023000323222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102300032295 and 102300032304.

It is not an unprimeable number, because it can be changed into a prime (102300032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3983922 + ... + 4009517.

It is an arithmetic number, because the mean of its divisors is an integer number (5803237440).

Almost surely, 2102300032322 is an apocalyptic number.

102300032322 is an abundant number, since it is smaller than the sum of its proper divisors (129829465278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102300032322 is an equidigital number, since it uses as much as digits as its factorization.

102300032322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993532 (or 7993523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102300032322 its reverse (223230003201), we get a palindrome (325530035523).

The spelling of 102300032322 in words is "one hundred two billion, three hundred million, thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 12798 7993439 15986878 23980317 47960634 71940951 143881902 215822853 431645706 631481681 647468559 1262963362 1294937118 1894445043 3788890086 5683335129 11366670258 17050005387 34100010774 51150016161 102300032322