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12131132310101 = 741910194058963
BaseRepresentation
bin1011000010000111111111…
…0101010000001001010101
31120221201120110122122212102
42300201333311100021111
53042224024332410401
641444544254331445
72361305524162340
oct260417765201125
946851513578772
1012131132310101
113957869a27302
12143b1177b9b85
1369cc6504869c
142dd2155d7457
1516085a39d56b
hexb087fd50255

12131132310101 has 16 divisors (see below), whose sum is σ = 13910881420800. Its totient is φ = 10363114476528.

The previous prime is 12131132309977. The next prime is 12131132310109. The reversal of 12131132310101 is 10101323113121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131132310101 is a prime.

It is a super-2 number, since 2×121311323101012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131132310109) 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, 959246 + ... + 5018208.

It is an arithmetic number, because the mean of its divisors is an integer number (869430088800).

Almost surely, 212131132310101 is an apocalyptic number.

It is an amenable number.

12131132310101 is a deficient number, since it is larger than the sum of its proper divisors (1779749110699).

12131132310101 is a wasteful number, since it uses less digits than its factorization.

12131132310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060408.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12131132310101 its reverse (10101323113121), we get a palindrome (22232455423222).

The spelling of 12131132310101 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred ten thousand, one hundred one".

Divisors: 1 7 419 1019 2933 7133 426961 2988727 4058963 28412741 1700705497 4136083297 11904938479 28952583079 1733018901443 12131132310101