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131002213221 = 331119912791733
BaseRepresentation
bin111101000000001010…
…1110010001101100101
3110112010202202221201000
41322000111302031211
54121243031310341
6140103120023513
712315233303535
oct1720025621545
9415122687630
10131002213221
1150615374820
1221480461b99
13c4797081c9
1464aa6314c5
15361ad308b6
hex1e80572365

131002213221 has 64 divisors (see below), whose sum is σ = 213073920000. Its totient is φ = 78888997440.

The previous prime is 131002213189. The next prime is 131002213229. The reversal of 131002213221 is 122312200131.

It is not a de Polignac number, because 131002213221 - 25 = 131002213189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131002213194 and 131002213203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002213229) 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 63 ways as a sum of consecutive naturals, for example, 75591871 + ... + 75593603.

It is an arithmetic number, because the mean of its divisors is an integer number (3329280000).

Almost surely, 2131002213221 is an apocalyptic number.

131002213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131002213221 is a deficient number, since it is larger than the sum of its proper divisors (82071706779).

131002213221 is a wasteful number, since it uses less digits than its factorization.

131002213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3225 counting only the distinct ones).

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

Adding to 131002213221 its reverse (122312200131), we get a palindrome (253314413352).

The spelling of 131002213221 in words is "one hundred thirty-one billion, two million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 199 297 597 1279 1733 1791 2189 3837 5199 5373 6567 11511 14069 15597 19063 19701 34533 42207 46791 57189 59103 126621 171567 254521 344867 379863 514701 763563 1034601 2216507 2290689 2799731 3103803 3793537 6649521 6872067 8399193 9311409 11380611 19948563 24381577 25197579 34141833 59845689 73144731 75592737 102425499 219434193 441084893 658302579 1323254679 3969764037 4851933823 11909292111 14555801469 43667404407 131002213221