Search a number
-
+
33130311352413 = 311291268075351
BaseRepresentation
bin1111000100001110000000…
…11100001000000001011101
311100022020010100202121202220
413202013000130020001131
513320301334201234123
6154243504355135553
76656405000021532
oct742070034100135
9140266110677686
1033130311352413
11a613539064600
123870a622a45b9
1315642374b7a72
14827730c38d89
153c6bde883ce3
hex1e21c070805d

33130311352413 has 12 divisors (see below), whose sum is σ = 48554616087264. Its totient is φ = 20078976577000.

The previous prime is 33130311352393. The next prime is 33130311352421. The reversal of 33130311352413 is 31425311303133.

It is a happy number.

It is not a de Polignac number, because 33130311352413 - 26 = 33130311352349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130311352423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45634037313 + ... + 45634038038.

It is an arithmetic number, because the mean of its divisors is an integer number (4046218007272).

Almost surely, 233130311352413 is an apocalyptic number.

33130311352413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33130311352413 is a deficient number, since it is larger than the sum of its proper divisors (15424304734851).

33130311352413 is a wasteful number, since it uses less digits than its factorization.

33130311352413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91268075376 (or 91268075365 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 33130311352413 its reverse (31425311303133), we get a palindrome (64555622655546).

The spelling of 33130311352413 in words is "thirty-three trillion, one hundred thirty billion, three hundred eleven million, three hundred fifty-two thousand, four hundred thirteen".

Divisors: 1 3 11 33 121 363 91268075351 273804226053 1003948828861 3011846486583 11043437117471 33130311352413