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131001122200 = 23521350385047
BaseRepresentation
bin111101000000001000…
…1100111110110011000
3110112010200201112002211
41322000101213312120
54121242241402300
6140103040404504
712315221110654
oct1720021476630
9415120645084
10131001122200
115061479a053
1221480016734
13c479415730
1464aa429a64
15361abb74ba
hex1e80467d98

131001122200 has 48 divisors (see below), whose sum is σ = 328006662480. Its totient is φ = 48369644160.

The previous prime is 131001122167. The next prime is 131001122257. The reversal of 131001122200 is 2221100131.

It is a super-2 number, since 2×1310011222002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25189924 + ... + 25195123.

It is an arithmetic number, because the mean of its divisors is an integer number (6833472135).

Almost surely, 2131001122200 is an apocalyptic number.

131001122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001122200 is an abundant number, since it is smaller than the sum of its proper divisors (197005540280).

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

131001122200 is a wasteful number, since it uses less digits than its factorization.

131001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50385076 (or 50385067 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 131001122200 its reverse (2221100131), we get a palindrome (133222222331).

The spelling of 131001122200 in words is "one hundred thirty-one billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 50385047 100770094 201540188 251925235 403080376 503850470 655005611 1007700940 1259626175 1310011222 2015401880 2519252350 2620022444 3275028055 5038504700 5240044888 6550056110 10077009400 13100112220 16375140275 26200224440 32750280550 65500561100 131001122200