Search a number
-
+
101331343431 = 3225788149727
BaseRepresentation
bin101111001011111010…
…0011001100001000111
3100200112221210121002200
41132113310121201013
53130011310442211
6114315002205543
710215041131143
oct1362764314107
9320487717080
10101331343431
1139a799a112a
121777b7b38b3
13972b5a0016
144c93bc0223
15298106bb56
hex1797d19847

101331343431 has 24 divisors (see below), whose sum is σ = 147106761984. Its totient is φ = 67213639680.

The previous prime is 101331343429. The next prime is 101331343433. The reversal of 101331343431 is 134343133101.

101331343431 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 313 + 4 + 343 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101331343429) and next prime (101331343433).

It is not a de Polignac number, because 101331343431 - 21 = 101331343429 is a prime.

It is a super-2 number, since 2×1013313434312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101331343395 and 101331343404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331343433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2012890 + ... + 2062616.

It is an arithmetic number, because the mean of its divisors is an integer number (6129448416).

Almost surely, 2101331343431 is an apocalyptic number.

101331343431 is a deficient number, since it is larger than the sum of its proper divisors (45775418553).

101331343431 is a wasteful number, since it uses less digits than its factorization.

101331343431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50871 (or 50868 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101331343431 its reverse (134343133101), we get a palindrome (235674476532).

The spelling of 101331343431 in words is "one hundred one billion, three hundred thirty-one million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 257 771 881 2313 2643 7929 49727 149181 226417 447543 679251 2037753 12779839 38339517 43809487 115018551 131428461 394285383 11259038159 33777114477 101331343431