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10131222140 = 22513210329101
BaseRepresentation
bin10010110111101111…
…00010111001111100
3222011001200102001122
421123313202321330
5131222043102030
64353151130112
7506026652534
oct113367427174
928131612048
1010131222140
1143298a1166
121b68b13938
13c55c43300
146c17604c4
153e467d8e5
hex25bde2e7c

10131222140 has 72 divisors (see below), whose sum is σ = 23262509088. Its totient is φ = 3704313600.

The previous prime is 10131222121. The next prime is 10131222151. The reversal of 10131222140 is 4122213101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333590 + ... + 362690.

It is an arithmetic number, because the mean of its divisors is an integer number (323090404).

Almost surely, 210131222140 is an apocalyptic number.

10131222140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631254544).

10131222140 is an abundant number, since it is smaller than the sum of its proper divisors (13131286948).

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

10131222140 is a wasteful number, since it uses less digits than its factorization.

10131222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29239 (or 29224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10131222140 its reverse (4122213101), we get a palindrome (14253435241).

The spelling of 10131222140 in words is "ten billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 169 206 260 338 412 515 676 845 1030 1339 1690 2060 2678 3380 5356 6695 13390 17407 26780 29101 34814 58202 69628 87035 116404 145505 174070 291010 348140 378313 582020 756626 1513252 1891565 2997403 3783130 4918069 5994806 7566260 9836138 11989612 14987015 19672276 24590345 29974030 38966239 49180690 59948060 77932478 98361380 155864956 194831195 389662390 506561107 779324780 1013122214 2026244428 2532805535 5065611070 10131222140