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10131224312 = 2311417513739
BaseRepresentation
bin10010110111101111…
…00011011011111000
3222011001200112001002
421123313203123320
5131222043134222
64353151144132
7506026662056
oct113367433370
928131615032
1010131224312
1143298a2860
121b68b15048
13c55c442b1
146c17611d6
153e467e392
hex25bde36f8

10131224312 has 64 divisors (see below), whose sum is σ = 21262348800. Its totient is φ = 4485600000.

The previous prime is 10131224293. The next prime is 10131224329. The reversal of 10131224312 is 21342213101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707739 + ... + 2711477.

It is an arithmetic number, because the mean of its divisors is an integer number (332224200).

Almost surely, 210131224312 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 10131224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631174400).

10131224312 is an abundant number, since it is smaller than the sum of its proper divisors (11131124488).

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

10131224312 is a wasteful number, since it uses less digits than its factorization.

10131224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4544 counting only the distinct ones).

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

Adding to 10131224312 its reverse (21342213101), we get a palindrome (31473437413).

The spelling of 10131224312 in words is "ten billion, one hundred thirty-one million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 751 902 1502 1804 3004 3608 3739 6008 7478 8261 14956 16522 29912 30791 33044 41129 61582 66088 82258 123164 153299 164516 246328 306598 329032 338701 613196 677402 1226392 1354804 1686289 2709608 2807989 3372578 5615978 6745156 11231956 13490312 22463912 30887879 61775758 115127549 123551516 230255098 247103032 460510196 921020392 1266403039 2532806078 5065612156 10131224312