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12201021146131 = 1743131127411171
BaseRepresentation
bin1011000110001100010110…
…0010000000010000010011
31121012101222010211101102221
42301203011202000100103
53044400142403134011
641541023254521511
72366331451401646
oct261430542002023
947171863741387
1012201021146131
1139844733a2224
121450781366297
136a6722440c2c
14302765553a5d
1516259ad51971
hexb18c5880413

12201021146131 has 16 divisors (see below), whose sum is σ = 13320073565568. Its totient is φ = 11130639811200.

The previous prime is 12201021146107. The next prime is 12201021146143. The reversal of 12201021146131 is 13164112010221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12201021146131 - 25 = 12201021146099 is a prime.

It is a super-2 number, since 2×122010211461312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201021146096 and 12201021146105.

It is not an unprimeable number, because it can be changed into a prime (12801021146131) 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, 63609825 + ... + 63801346.

It is an arithmetic number, because the mean of its divisors is an integer number (832504597848).

Almost surely, 212201021146131 is an apocalyptic number.

12201021146131 is a deficient number, since it is larger than the sum of its proper divisors (1119052419437).

12201021146131 is a wasteful number, since it uses less digits than its factorization.

12201021146131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127411362.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 12201021146131 its reverse (13164112010221), we get a palindrome (25365133156352).

The spelling of 12201021146131 in words is "twelve trillion, two hundred one billion, twenty-one million, one hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 17 43 131 731 2227 5633 95761 127411171 2165989907 5478680353 16690863401 93137566001 283744677817 717707126243 12201021146131