Search a number
-
+
1302302002212 = 223236175055617
BaseRepresentation
bin10010111100110111001…
…111111000110000100100
311121111110122222021121100
4102330313033320300210
5132314103303032322
62434134055320100
7163042154242161
oct22746717706044
94544418867540
101302302002212
11462337590562
1219048a380030
1395a63cc0a23
14470631b9068
1523d2108edac
hex12f373f8c24

1302302002212 has 18 divisors (see below), whose sum is σ = 3291930061238. Its totient is φ = 434100667392.

The previous prime is 1302302002171. The next prime is 1302302002213. The reversal of 1302302002212 is 2122002032031.

1302302002212 is a `hidden beast` number, since 13 + 0 + 230 + 200 + 221 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1297630826496 + 4671175716 = 1139136^2 + 68346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (1302302002213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18087527773 + ... + 18087527844.

Almost surely, 21302302002212 is an apocalyptic number.

1302302002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1302302002212 is an abundant number, since it is smaller than the sum of its proper divisors (1989628059026).

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

1302302002212 is a wasteful number, since it uses less digits than its factorization.

1302302002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36175055627 (or 36175055622 counting only the distinct ones).

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

Adding to 1302302002212 its reverse (2122002032031), we get a palindrome (3424304034243).

The spelling of 1302302002212 in words is "one trillion, three hundred two billion, three hundred two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 36175055617 72350111234 108525166851 144700222468 217050333702 325575500553 434100667404 651151001106 1302302002212