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10140301310000 = 24544492258419
BaseRepresentation
bin1001001110001111100100…
…0011101011100000110000
31022220101220000220021012012
42103203321003223200300
52312114314113410000
633322220133022052
72064420055660361
oct223437103534060
938811800807165
1010140301310000
11325a528806894
121179312484928
135872c3286654
14270b16791b68
15128b8c331735
hex938f90eb830

10140301310000 has 100 divisors (see below), whose sum is σ = 24605372979000. Its totient is φ = 4047085056000.

The previous prime is 10140301309997. The next prime is 10140301310017. The reversal of 10140301310000 is 1310304101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×101403013100002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3360791 + ... + 5619209.

It is an arithmetic number, because the mean of its divisors is an integer number (246053729790).

Almost surely, 210140301310000 is an apocalyptic number.

10140301310000 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 10140301310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302686489500).

10140301310000 is an abundant number, since it is smaller than the sum of its proper divisors (14465071669000).

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

10140301310000 is an equidigital number, since it uses as much as digits as its factorization.

10140301310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258896 (or 2258875 counting only the distinct ones).

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

Adding to 10140301310000 its reverse (1310304101), we get a palindrome (10141611614101).

The spelling of 10140301310000 in words is "ten trillion, one hundred forty billion, three hundred one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 449 500 625 898 1000 1250 1796 2000 2245 2500 3592 4490 5000 7184 8980 10000 11225 17960 22450 35920 44900 56125 89800 112250 179600 224500 280625 449000 561250 898000 1122500 2245000 2258419 4490000 4516838 9033676 11292095 18067352 22584190 36134704 45168380 56460475 90336760 112920950 180673520 225841900 282302375 451683800 564604750 903367600 1014030131 1129209500 1411511875 2028060262 2258419000 2823023750 4056120524 4516838000 5070150655 5646047500 8112241048 10140301310 11292095000 16224482096 20280602620 22584190000 25350753275 40561205240 50701506550 81122410480 101403013100 126753766375 202806026200 253507532750 405612052400 507015065500 633768831875 1014030131000 1267537663750 2028060262000 2535075327500 5070150655000 10140301310000