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10000313013040 = 245729615782821
BaseRepresentation
bin1001000110000110000100…
…0110101101001100110000
31022102000120000012221222221
42101201201012231030300
52302321120112404130
633134025210010424
72051333036042620
oct221414106551460
938360500187887
1010000313013040
113206121a96389
121156164716a14
13577043c6143c
1426803692c880
151251e767287a
hex918611ad330

10000313013040 has 80 divisors (see below), whose sum is σ = 27488545174080. Its totient is φ = 3310448440320.

The previous prime is 10000313013037. The next prime is 10000313013043. The reversal of 10000313013040 is 4031031300001.

It is an interprime number because it is at equal distance from previous prime (10000313013037) and next prime (10000313013043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10000313013043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307875171 + ... + 307907650.

It is an arithmetic number, because the mean of its divisors is an integer number (343606814676).

Almost surely, 210000313013040 is an apocalyptic number.

10000313013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000313013040 is an abundant number, since it is smaller than the sum of its proper divisors (17488232161040).

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

10000313013040 is a wasteful number, since it uses less digits than its factorization.

10000313013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615782870 (or 615782864 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10000313013040 its reverse (4031031300001), we get a palindrome (14031344313041).

The spelling of 10000313013040 in words is "ten trillion, three hundred thirteen million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 615782821 1231565642 2463131284 3078914105 4310479747 4926262568 6157828210 8620959494 9852525136 12315656420 17241918988 17857701809 21552398735 24631312840 34483837976 35715403618 43104797470 49262625680 68967675952 71430807236 86209594940 89288509045 125003912663 142861614472 172419189880 178577018090 250007825326 285723228944 344838379760 357154036180 500015650652 625019563315 714308072360 1000031301304 1250039126630 1428616144720 2000062602608 2500078253260 5000156506520 10000313013040