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10131320040 = 2335511916493
BaseRepresentation
bin10010110111101111…
…11010110011101000
3222011001212101100120
421123313322303220
5131222104220130
64353153203240
7506030541132
oct113367726350
928131771316
1010131320040
114329958776
121b68b60520
13c55c78a3a
146c1788052
153e469c910
hex25bdface8

10131320040 has 64 divisors (see below), whose sum is σ = 30401740800. Its totient is φ = 2700993792.

The previous prime is 10131320039. The next prime is 10131320041. The reversal of 10131320040 is 4002313101.

It is an interprime number because it is at equal distance from previous prime (10131320039) and next prime (10131320041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10131320041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606034 + ... + 622526.

It is an arithmetic number, because the mean of its divisors is an integer number (475027200).

Almost surely, 210131320040 is an apocalyptic number.

10131320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131320040 is an abundant number, since it is smaller than the sum of its proper divisors (20270420760).

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

10131320040 is a wasteful number, since it uses less digits than its factorization.

10131320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21626 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10131320040 its reverse (4002313101), we get a palindrome (14133633141).

The spelling of 10131320040 in words is "ten billion, one hundred thirty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5119 10238 15357 16493 20476 25595 30714 32986 40952 49479 51190 61428 65972 76785 82465 98958 102380 122856 131944 153570 164930 197916 204760 247395 307140 329860 395832 494790 614280 659720 989580 1979160 84427667 168855334 253283001 337710668 422138335 506566002 675421336 844276670 1013132004 1266415005 1688553340 2026264008 2532830010 3377106680 5065660020 10131320040