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10000130113314 = 23311171317559603
BaseRepresentation
bin1001000110000101011000…
…1100111111111100100010
31022102000002021001200202000
42101201112030333330202
52302320231302111224
633133555113504430
72051325355316355
oct221412614777442
938360067050660
1010000130113314
113206038823090
121156113412116
135770150b3753
1426801a51c29c
151251d65950c9
hex9185633ff22

10000130113314 has 128 divisors (see below), whose sum is σ = 25864731509760. Its totient is φ = 2830314988800.

The previous prime is 10000130113307. The next prime is 10000130113321. The reversal of 10000130113314 is 41331103100001.

10000130113314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10000130113307) and next prime (10000130113321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456964 + ... + 5102639.

It is an arithmetic number, because the mean of its divisors is an integer number (202068214920).

Almost surely, 210000130113314 is an apocalyptic number.

10000130113314 is an abundant number, since it is smaller than the sum of its proper divisors (15864601396446).

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

10000130113314 is a wasteful number, since it uses less digits than its factorization.

10000130113314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559773 (or 7559767 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10000130113314 its reverse (41331103100001), we get a palindrome (51331233213315).

The spelling of 10000130113314 in words is "ten trillion, one hundred thirty million, one hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 131 153 187 198 262 297 306 374 393 459 561 594 786 918 1122 1179 1441 1683 2227 2358 2882 3366 3537 4323 4454 5049 6681 7074 8646 10098 12969 13362 20043 24497 25938 38907 40086 48994 60129 73491 77814 120258 146982 220473 440946 661419 1322838 7559603 15119206 22678809 45357618 68036427 83155633 128513251 136072854 166311266 204109281 249466899 257026502 385539753 408218562 498933798 748400697 771079506 990307993 1156619259 1413645761 1496801394 1980615986 2245202091 2313238518 2827291522 2970923979 3469857777 4240937283 4490404182 5941847958 6939715554 8481874566 8912771937 10893387923 12722811849 16835235881 17825543874 21786775846 25445623698 26738315811 32680163769 33670471762 38168435547 50505707643 53476631622 65360327538 76336871094 98040491307 101011415286 151517122929 185187594691 196080982614 294121473921 303034245858 370375189382 454551368787 555562784073 588242947842 909102737574 1111125568146 1666688352219 3333376704438 5000065056657 10000130113314