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10131242132231 = 1117367457323027
BaseRepresentation
bin1001001101101101110100…
…0101101010001100000111
31022212112111200110100112122
42103123131011222030013
52311442240441212411
633314121155240155
72063646424145363
oct223333505521407
938775450410478
1010131242132231
1132566aa076510
1211776045a905b
135864ab48672c
142704d75742a3
1512880bd659db
hex936dd16a307

10131242132231 has 32 divisors (see below), whose sum is σ = 11759997146112. Its totient is φ = 8625879567360.

The previous prime is 10131242132201. The next prime is 10131242132239. The reversal of 10131242132231 is 13223124213101.

10131242132231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10131242132231 is a prime.

It is a super-2 number, since 2×101312421322312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131242132231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131242132239) 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, 31201940 + ... + 31524966.

It is an arithmetic number, because the mean of its divisors is an integer number (367499910816).

Almost surely, 210131242132231 is an apocalyptic number.

10131242132231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131242132231 is a deficient number, since it is larger than the sum of its proper divisors (1628755013881).

10131242132231 is a wasteful number, since it uses less digits than its factorization.

10131242132231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323879.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10131242132231 its reverse (13223124213101), we get a palindrome (23354366345332).

The spelling of 10131242132231 in words is "ten trillion, one hundred thirty-one billion, two hundred forty-two million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 17 187 367 457 4037 5027 6239 7769 68629 85459 167719 323027 1844909 2851223 3553297 5491459 31363453 60406049 118550909 147623339 1304059999 1623856729 2015365453 2509596763 22169019983 27605564393 54177765413 595955419543 921022012021 10131242132231