Search a number
-
+
303240211141131 = 33119713109802951
BaseRepresentation
bin100010011110010111001110…
…1000100010001001000001011
31110202200110222200212011111000
41010330232131010101020023
5304221241423023004011
62552534344014110043
7120605245055650605
oct10474563504211013
91422613880764430
10303240211141131
11886924a6807940
122a015b991ab323
1310028576c91804
1454c4c94060175
15250ce91819356
hex113cb9d11120b

303240211141131 has 64 divisors (see below), whose sum is σ = 495176001868800. Its totient is φ = 181873185408000.

The previous prime is 303240211141099. The next prime is 303240211141169. The reversal of 303240211141131 is 131141112042303.

303240211141131 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 4 + 0 + 211 + 1 + 411 + 31 = 666.

It is not a de Polignac number, because 303240211141131 - 25 = 303240211141099 is a prime.

It is a super-2 number, since 2×3032402111411312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 303240211141095 and 303240211141104.

It is not an unprimeable number, because it can be changed into a prime (303240211141331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377255706 + ... + 378058656.

It is an arithmetic number, because the mean of its divisors is an integer number (7737125029200).

Almost surely, 2303240211141131 is an apocalyptic number.

303240211141131 is a deficient number, since it is larger than the sum of its proper divisors (191935790727669).

303240211141131 is a wasteful number, since it uses less digits than its factorization.

303240211141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816177 (or 816171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 303240211141131 its reverse (131141112042303), we get a palindrome (434381323183434).

The spelling of 303240211141131 in words is "three hundred three trillion, two hundred forty billion, two hundred eleven million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 97 99 291 297 873 1067 2619 3201 9603 13109 28809 39327 117981 144199 353943 432597 802951 1271573 1297791 2408853 3814719 3893373 7226559 8832461 11444157 13987303 21679677 26497383 34332471 41961909 77886247 79492149 125885727 233658741 238476447 377657181 700976223 856748717 2102928669 2570246151 7710738453 10525884659 23132215359 31577653977 94732961931 115784731249 284198885793 347354193747 1021010811923 1042062581241 3063032435769 3126187743723 9189097307307 11231118931153 27567291921921 33693356793459 101080070380377 303240211141131