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202144043031 = 37611198113171
BaseRepresentation
bin1011110001000010111…
…0010101000000010111
3201022202202200100121120
42330100232111000113
511302442333334111
6232510320215023
720414214005220
oct2742056250027
9638682610546
10202144043031
1178802051497
123321576a473
13160a658aba8
149ad8b54247
1553d17db406
hex2f10b95017

202144043031 has 32 divisors (see below), whose sum is σ = 313128577536. Its totient is φ = 113599152000.

The previous prime is 202144043029. The next prime is 202144043093. The reversal of 202144043031 is 130340441202.

It is not a de Polignac number, because 202144043031 - 21 = 202144043029 is a prime.

It is a super-2 number, since 2×2021440430312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202144042992 and 202144043010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202144042031) 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 31 ways as a sum of consecutive naturals, for example, 15341076 + ... + 15354246.

It is an arithmetic number, because the mean of its divisors is an integer number (9785268048).

Almost surely, 2202144043031 is an apocalyptic number.

202144043031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202144043031 is a deficient number, since it is larger than the sum of its proper divisors (110984534505).

202144043031 is a wasteful number, since it uses less digits than its factorization.

202144043031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25223.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202144043031 its reverse (130340441202), we get a palindrome (332484484233).

The spelling of 202144043031 in words is "two hundred two billion, one hundred forty-four million, forty-three thousand, thirty-one".

Divisors: 1 3 7 21 61 183 427 1281 11981 13171 35943 39513 83867 92197 251601 276591 730841 803431 2192523 2410293 5115887 5624017 15347661 16872051 157801751 473405253 1104612257 3313836771 9625906811 28877720433 67381347677 202144043031