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10121130031 = 432141109937
BaseRepresentation
bin10010110110100010…
…00011000000101111
3222010100200200021211
421123101003000233
5131212002130111
64352150535251
7505545120505
oct113321030057
928110620254
1010121130031
114324128881
121b65667527
13c53b1b84c
146c0294675
153e3838521
hex25b44302f

10121130031 has 8 divisors (see below), whose sum is σ = 10361436624. Its totient is φ = 9881047680.

The previous prime is 10121130011. The next prime is 10121130049. The reversal of 10121130031 is 13003112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121130031 - 27 = 10121129903 is a prime.

It is a super-3 number, since 3×101211300313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121129993 and 10121130020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121130011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37095 + ... + 147031.

It is an arithmetic number, because the mean of its divisors is an integer number (1295179578).

Almost surely, 210121130031 is an apocalyptic number.

10121130031 is a deficient number, since it is larger than the sum of its proper divisors (240306593).

10121130031 is a wasteful number, since it uses less digits than its factorization.

10121130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112121.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10121130031 its reverse (13003112101), we get a palindrome (23124242132).

The spelling of 10121130031 in words is "ten billion, one hundred twenty-one million, one hundred thirty thousand, thirty-one".

Divisors: 1 43 2141 92063 109937 4727291 235375117 10121130031