Search a number
-
+
2153223550431 = 323311310355163
BaseRepresentation
bin11111010101010110000…
…111111111010111011111
321121211211211222200201100
4133111112013333113133
5240234300212103211
64325102141244143
7311364613123362
oct37252607772737
97554754880640
102153223550431
117601a46180a8
122a9386263653
13128081909805
14763063da0d9
153b024aad156
hex1f5561ff5df

2153223550431 has 24 divisors (see below), whose sum is σ = 3119902845696. Its totient is φ = 1431010397520.

The previous prime is 2153223550421. The next prime is 2153223550459. The reversal of 2153223550431 is 1340553223512.

2153223550431 is a `hidden beast` number, since 2 + 1 + 53 + 2 + 23 + 550 + 4 + 31 = 666.

It is not a de Polignac number, because 2153223550431 - 238 = 1878345643487 is a prime.

It is a super-2 number, since 2×21532235504312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153223550421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39006256 + ... + 39061418.

It is an arithmetic number, because the mean of its divisors is an integer number (129995951904).

Almost surely, 22153223550431 is an apocalyptic number.

2153223550431 is a deficient number, since it is larger than the sum of its proper divisors (966679295265).

2153223550431 is a wasteful number, since it uses less digits than its factorization.

2153223550431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68603 (or 68600 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2153223550431 its reverse (1340553223512), we get a palindrome (3493776773943).

The spelling of 2153223550431 in words is "two trillion, one hundred fifty-three billion, two hundred twenty-three million, five hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 9 331 993 2979 13103 39309 55163 117927 165489 496467 4337093 13011279 18258953 39033837 54776859 164330577 722800789 2168402367 6505207101 239247061159 717741183477 2153223550431