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12113332100031 = 341676612223731
BaseRepresentation
bin1011000001000101101011…
…0110110101101110111111
31120220000121221102022002210
42300101122312311232333
53041431101004200111
641432442110151503
72360105442661221
oct260213266655677
946800557368083
1012113332100031
1139502651a3a98
12143778a4b2593
1369b38932a8c6
142dc407536411
1516016780c0a6
hexb045adb5bbf

12113332100031 has 32 divisors (see below), whose sum is σ = 16817391311616. Its totient is φ = 7749254304000.

The previous prime is 12113332100029. The next prime is 12113332100063. The reversal of 12113332100031 is 13000123331121.

It is a happy number.

It is not a de Polignac number, because 12113332100031 - 21 = 12113332100029 is a prime.

It is a super-2 number, since 2×121133321000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12113332099980 and 12113332100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113332100731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4335436 + ... + 6559166.

It is an arithmetic number, because the mean of its divisors is an integer number (525543478488).

Almost surely, 212113332100031 is an apocalyptic number.

12113332100031 is a deficient number, since it is larger than the sum of its proper divisors (4704059211585).

12113332100031 is a wasteful number, since it uses less digits than its factorization.

12113332100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224503.

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

Adding to 12113332100031 its reverse (13000123331121), we get a palindrome (25113455431152).

The spelling of 12113332100031 in words is "twelve trillion, one hundred thirteen billion, three hundred thirty-two million, one hundred thousand, thirty-one".

Divisors: 1 3 41 67 123 201 661 1983 2747 8241 27101 44287 81303 132861 1815767 2223731 5447301 6671193 91172971 148989977 273518913 446969931 1469886191 4409658573 6108589057 18325767171 60265333831 98482374797 180796001493 295447124391 4037777366677 12113332100031