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10131422312 = 23111011517549
BaseRepresentation
bin10010110111110000…
…10011110001101000
3222011002001120122102
421123320103301220
5131222121003222
64353155312532
7506031445244
oct113370236150
928132046572
1010131422312
114329a185a0
121b68bab748
13c55cb345b
146c17b3424
153e46bcd92
hex25be13c68

10131422312 has 64 divisors (see below), whose sum is σ = 21069936000. Its totient is φ = 4528800000.

The previous prime is 10131422309. The next prime is 10131422317. The reversal of 10131422312 is 21322413101.

10131422312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10131422317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338314 + ... + 1345862.

It is an arithmetic number, because the mean of its divisors is an integer number (329217750).

Almost surely, 210131422312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10534968000).

10131422312 is an abundant number, since it is smaller than the sum of its proper divisors (10938513688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131422312 is a wasteful number, since it uses less digits than its factorization.

10131422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10131422312 its reverse (21322413101), we get a palindrome (31453835413).

It can be divided in two parts, 101 and 31422312, that added together give a palindrome (31422413).

The spelling of 10131422312 in words is "ten billion, one hundred thirty-one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 151 202 302 404 604 808 1111 1208 1661 2222 3322 4444 6644 7549 8888 13288 15098 15251 30196 30502 60392 61004 83039 122008 166078 167761 332156 335522 664312 671044 762449 1139899 1342088 1524898 2279798 3049796 4559596 6099592 8386939 9119192 12538889 16773878 25077778 33547756 50155556 67095512 100311112 115129799 230259598 460519196 921038392 1266427789 2532855578 5065711156 10131422312