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10311415450 = 2527217298537
BaseRepresentation
bin10011001101001101…
…11011011010011010
3222121121202011210221
421212212323122122
5132104210243300
64423105230254
7513345404500
oct114646733232
928547664727
1010311415450
114411586056
121bb933238a
13c8438417b
146db668670
154053c431a
hex2669bb69a

10311415450 has 144 divisors (see below), whose sum is σ = 24440366520. Its totient is φ = 3212267520.

The previous prime is 10311415409. The next prime is 10311415459. The reversal of 10311415450 is 5451411301.

It can be written as a sum of positive squares in 12 ways, for example, as 3572811529 + 6738603921 = 59773^2 + 82089^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10311415459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203582 + ... + 1212118.

Almost surely, 210311415450 is an apocalyptic number.

10311415450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10311415450 is an abundant number, since it is smaller than the sum of its proper divisors (14128951070).

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

10311415450 is a wasteful number, since it uses less digits than its factorization.

10311415450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 10311415450 its reverse (5451411301), we get a palindrome (15762826751).

The spelling of 10311415450 in words is "ten billion, three hundred eleven million, four hundred fifteen thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 29 34 35 49 50 58 70 85 98 119 145 170 175 203 238 245 290 350 406 425 490 493 595 725 833 850 986 1015 1190 1225 1421 1450 1666 2030 2450 2465 2842 2975 3451 4165 4930 5075 5950 6902 7105 8330 8537 10150 12325 14210 17074 17255 20825 24157 24650 34510 35525 41650 42685 48314 59759 71050 85370 86275 119518 120785 145129 172550 213425 241570 247573 290258 298795 418313 426850 495146 597590 603925 725645 836626 1015903 1207850 1237865 1451290 1493975 1733011 2031806 2091565 2475730 2987950 3466022 3628225 4183130 4208741 5079515 6189325 7111321 7256450 8417482 8665055 10159030 10457825 12131077 12378650 14222642 17330110 20915650 21043705 24262154 25397575 29461187 35556605 42087410 43325275 50795150 58922374 60655385 71113210 86650550 105218525 121310770 147305935 177783025 206228309 210437050 294611870 303276925 355566050 412456618 606553850 736529675 1031141545 1473059350 2062283090 5155707725 10311415450