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131001221001 = 3731120058371
BaseRepresentation
bin111101000000001000…
…1111111111110001001
3110112010200220112122010
41322000101333332021
54121242303033001
6140103042450133
712315222002010
oct1720021777611
9415120815563
10131001221001
1150614857302
1221480063949
13c47944b6b1
1464aa453a77
15361abd68d6
hex1e8047ff89

131001221001 has 16 divisors (see below), whose sum is σ = 200262786048. Its totient is φ = 74617136400.

The previous prime is 131001220991. The next prime is 131001221011. The reversal of 131001221001 is 100122100131.

It is an interprime number because it is at equal distance from previous prime (131001220991) and next prime (131001221011).

It is not a de Polignac number, because 131001221001 - 25 = 131001220969 is a prime.

It is a super-2 number, since 2×1310012210012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001221011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10022655 + ... + 10035716.

It is an arithmetic number, because the mean of its divisors is an integer number (12516424128).

Almost surely, 2131001221001 is an apocalyptic number.

It is an amenable number.

131001221001 is a deficient number, since it is larger than the sum of its proper divisors (69261565047).

131001221001 is a wasteful number, since it uses less digits than its factorization.

131001221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20058692.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131001221001 its reverse (100122100131), we get a palindrome (231123321132).

The spelling of 131001221001 in words is "one hundred thirty-one billion, one million, two hundred twenty-one thousand, one".

Divisors: 1 3 7 21 311 933 2177 6531 20058371 60175113 140408597 421225791 6238153381 18714460143 43667073667 131001221001