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131000311220 = 22517385295033
BaseRepresentation
bin111101000000000111…
…0100001110110110100
3110112010122012022122112
41322000032201312310
54121242034424340
6140103011150152
712315211162412
oct1720016416664
9415118168575
10131000311220
1150614295819
122147b8a5358
13c4791c056c
1464aa2982b2
15361aaa7065
hex1e803a1db4

131000311220 has 24 divisors (see below), whose sum is σ = 291283045704. Its totient is φ = 49317764096.

The previous prime is 131000311217. The next prime is 131000311229. The reversal of 131000311220 is 22113000131.

It can be written as a sum of positive squares in 4 ways, for example, as 67095504784 + 63904806436 = 259028^2 + 252794^2 .

It is a super-2 number, since 2×1310003112202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000311195 and 131000311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000311229) 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 7 ways as a sum of consecutive naturals, for example, 192647177 + ... + 192647856.

It is an arithmetic number, because the mean of its divisors is an integer number (12136793571).

Almost surely, 2131000311220 is an apocalyptic number.

131000311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000311220 is an abundant number, since it is smaller than the sum of its proper divisors (160282734484).

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

131000311220 is a wasteful number, since it uses less digits than its factorization.

131000311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385295059 (or 385295057 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131000311220 its reverse (22113000131), we get a palindrome (153113311351).

The spelling of 131000311220 in words is "one hundred thirty-one billion, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 385295033 770590066 1541180132 1926475165 3852950330 6550015561 7705900660 13100031122 26200062244 32750077805 65500155610 131000311220