Search a number
-
+
102004212303 = 357483112413
BaseRepresentation
bin101111011111111101…
…1001100001001001111
3100202021211220212200000
41132333323030021033
53132401034243203
6114505440135343
710240521333030
oct1367773141117
9322254825600
10102004212303
113a29479a504
1217929007553
139807b00196
144d192d4a87
1529c01804a3
hex17bfecc24f

102004212303 has 48 divisors (see below), whose sum is σ = 174674712576. Its totient is φ = 58271361120.

The previous prime is 102004212263. The next prime is 102004212341. The reversal of 102004212303 is 303212400201.

102004212303 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 421 + 230 + 3 = 666.

It is not a de Polignac number, because 102004212303 - 213 = 102004204111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102004212203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8211325 + ... + 8223737.

It is an arithmetic number, because the mean of its divisors is an integer number (3639056512).

Almost surely, 2102004212303 is an apocalyptic number.

102004212303 is a deficient number, since it is larger than the sum of its proper divisors (72670500273).

102004212303 is an equidigital number, since it uses as much as digits as its factorization.

102004212303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17266 (or 17254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102004212303 its reverse (303212400201), we get a palindrome (405216612504).

The spelling of 102004212303 in words is "one hundred two billion, four million, two hundred twelve thousand, three hundred three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 4831 12413 14493 33817 37239 43479 86891 101451 111717 130437 260673 304353 335151 391311 782019 913059 1005453 1173933 2346057 2739177 3016359 7038171 8217531 21114513 59967203 179901609 419770421 539704827 1259311263 1619114481 3777933789 4857343443 11333801367 14572030329 34001404101 102004212303