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131202122103 = 32132938668471
BaseRepresentation
bin111101000110001000…
…0011000000101110111
3110112122200221101010200
41322030100120011313
54122200220401403
6140135020451543
712323211431343
oct1721420300567
9415580841120
10131202122103
11507081a5278
12215173a9bb3
13c4abc5cba0
1464c8dcc623
15362d66cca3
hex1e8c418177

131202122103 has 24 divisors (see below), whose sum is σ = 211129857120. Its totient is φ = 77955635520.

The previous prime is 131202122087. The next prime is 131202122171. The reversal of 131202122103 is 301221202131.

It is not a de Polignac number, because 131202122103 - 24 = 131202122087 is a prime.

It is a super-2 number, since 2×1312021221032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202122503) 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 23 ways as a sum of consecutive naturals, for example, 19330843 + ... + 19337628.

It is an arithmetic number, because the mean of its divisors is an integer number (8797077380).

Almost surely, 2131202122103 is an apocalyptic number.

131202122103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131202122103 is a deficient number, since it is larger than the sum of its proper divisors (79927735017).

131202122103 is a wasteful number, since it uses less digits than its factorization.

131202122103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38668519 (or 38668516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131202122103 its reverse (301221202131), we get a palindrome (432423324234).

The spelling of 131202122103 in words is "one hundred thirty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 38668471 116005413 348016239 502690123 1121385659 1508070369 3364156977 4524211107 10092470931 14578013567 43734040701 131202122103