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12103300132131 = 3137314532925841
BaseRepresentation
bin1011000000100000010011…
…1001111010110100100011
31120212001201210111112021010
42300020010321322310203
53041300024313212011
641424102422232003
72356302026443335
oct260100471726443
946761653445233
1012103300132131
113946a8743502a
12143584a885603
1369a44ab29820
142dbb35051455
1515ec7bc371a6
hexb0204e7ad23

12103300132131 has 32 divisors (see below), whose sum is σ = 17629298166592. Its totient is φ = 7341096407040.

The previous prime is 12103300132093. The next prime is 12103300132139. The reversal of 12103300132131 is 13123100330121.

It is a happy number.

It is not a de Polignac number, because 12103300132131 - 27 = 12103300132003 is a prime.

It is a super-2 number, since 2×121033001321312 (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 = 12103300132098 and 12103300132107.

It is not an unprimeable number, because it can be changed into a prime (12103300132139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673771 + ... + 5599611.

It is an arithmetic number, because the mean of its divisors is an integer number (550915567706).

Almost surely, 212103300132131 is an apocalyptic number.

12103300132131 is a deficient number, since it is larger than the sum of its proper divisors (5525998034461).

12103300132131 is a wasteful number, since it uses less digits than its factorization.

12103300132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927383.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12103300132131 its reverse (13123100330121), we get a palindrome (25226400462252).

The spelling of 12103300132131 in words is "twelve trillion, one hundred three billion, three hundred million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 73 219 949 1453 2847 4359 18889 56667 106069 318207 1378897 2925841 4136691 8777523 38035933 114107799 213586393 640759179 2776623109 4251246973 8329869327 12753740919 55266210649 165798631947 310341029029 931023087087 4034433377377 12103300132131