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131323233100 = 225222911095171
BaseRepresentation
bin111101001001101111…
…0011000001101001100
3110112222010211110012011
41322103132120031030
54122422221424400
6140155024351004
712326212030543
oct1722336301514
9415863743164
10131323233100
115076a5a5804
122154ba75464
13c4cb0856b7
1464db11715a
1536390e28ba
hex1e9379834c

131323233100 has 72 divisors (see below), whose sum is σ = 286529317200. Its totient is φ = 52242643200.

The previous prime is 131323233073. The next prime is 131323233161. The reversal of 131323233100 is 1332323131.

It is a super-2 number, since 2×1313232331002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25393515 + ... + 25398685.

It is an arithmetic number, because the mean of its divisors is an integer number (3979573850).

Almost surely, 2131323233100 is an apocalyptic number.

131323233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131323233100 is an abundant number, since it is smaller than the sum of its proper divisors (155206084100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131323233100 is a wasteful number, since it uses less digits than its factorization.

131323233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131323233100 its reverse (1332323131), we get a palindrome (132655556231).

The spelling of 131323233100 in words is "one hundred thirty-one billion, three hundred twenty-three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1109 1145 2218 2290 4436 4580 5171 5545 5725 10342 11090 11450 20684 22180 22900 25855 27725 51710 55450 103420 110900 129275 253961 258550 507922 517100 1015844 1184159 1269805 2368318 2539610 4736636 5079220 5734639 5920795 6349025 11469278 11841590 12698050 22938556 23683180 25396100 28673195 29603975 57346390 59207950 114692780 118415900 143365975 286731950 573463900 1313232331 2626464662 5252929324 6566161655 13132323310 26264646620 32830808275 65661616550 131323233100