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10031113040 = 24513107109827
BaseRepresentation
bin10010101011110011…
…01010001101010000
3221220002022100012012
421111321222031100
5131020431104130
64335213322052
7503403024344
oct112571521520
927802270165
1010031113040
114288335773
121b3b496328
13c3b291c60
146b2341624
153da9a6995
hex255e6a350

10031113040 has 160 divisors (see below), whose sum is σ = 25614610560. Its totient is φ = 3631122432.

The previous prime is 10031113009. The next prime is 10031113049. The reversal of 10031113040 is 4031113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031113049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12129107 + ... + 12129933.

It is an arithmetic number, because the mean of its divisors is an integer number (160091316).

Almost surely, 210031113040 is an apocalyptic number.

10031113040 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 10031113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807305280).

10031113040 is an abundant number, since it is smaller than the sum of its proper divisors (15583497520).

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

10031113040 is a wasteful number, since it uses less digits than its factorization.

10031113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10031113040 its reverse (4031113001), we get a palindrome (14062226041).

The spelling of 10031113040 in words is "ten billion, thirty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 109 130 208 214 218 260 428 436 520 535 545 827 856 872 1040 1070 1090 1391 1417 1654 1712 1744 2140 2180 2782 2834 3308 4135 4280 4360 5564 5668 6616 6955 7085 8270 8560 8720 10751 11128 11336 11663 13232 13910 14170 16540 21502 22256 22672 23326 27820 28340 33080 43004 46652 53755 55640 56680 58315 66160 86008 88489 90143 93304 107510 111280 113360 116630 151619 172016 176978 180286 186608 215020 233260 303238 353956 360572 430040 442445 450715 466520 606476 707912 721144 758095 860080 884890 901430 933040 1150357 1171859 1212952 1415824 1442288 1516190 1769780 1802860 2300714 2343718 2425904 3032380 3539560 3605720 4601428 4687436 5751785 5859295 6064760 7079120 7211440 9202856 9374872 9645301 11503570 11718590 12129520 18405712 18749744 19290602 23007140 23437180 38581204 46014280 46874360 48226505 77162408 92028560 93748720 96453010 125388913 154324816 192906020 250777826 385812040 501555652 626944565 771624080 1003111304 1253889130 2006222608 2507778260 5015556520 10031113040