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10310014142520 = 23351071321607843
BaseRepresentation
bin1001011000000111110010…
…1110110000100000111000
31100111121221121112102120220
42112001330232300200320
52322404402110030040
633532204412020040
72112605522153511
oct226017456604070
940447847472526
1010310014142520
1133154a8224864
1211a6196a61620
1359a2cb886841
14279016235a08
1512d2c18552d0
hex9607cbb0838

10310014142520 has 128 divisors (see below), whose sum is σ = 31242792579840. Its totient is φ = 2721576084480.

The previous prime is 10310014142509. The next prime is 10310014142539. The reversal of 10310014142520 is 2524141001301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16657719 + ... + 17265561.

It is an arithmetic number, because the mean of its divisors is an integer number (244084317030).

Almost surely, 210310014142520 is an apocalyptic number.

10310014142520 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 10310014142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621396289920).

10310014142520 is an abundant number, since it is smaller than the sum of its proper divisors (20932778437320).

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

10310014142520 is a wasteful number, since it uses less digits than its factorization.

10310014142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609285 (or 609281 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10310014142520 its reverse (2524141001301), we get a palindrome (12834155143821).

The spelling of 10310014142520 in words is "ten trillion, three hundred ten billion, fourteen million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1321 1605 2140 2568 2642 3210 3963 4280 5284 6420 6605 7926 10568 12840 13210 15852 19815 26420 31704 39630 52840 79260 141347 158520 282694 424041 565388 607843 706735 848082 1130776 1215686 1413470 1696164 1823529 2120205 2431372 2826940 3039215 3392328 3647058 4240410 4862744 5653880 6078430 7294116 8480820 9117645 12156860 14588232 16961640 18235290 24313720 36470580 65039201 72941160 130078402 195117603 260156804 325196005 390235206 520313608 650392010 780470412 802960603 975588015 1300784020 1560940824 1605921206 1951176030 2408881809 2601568040 3211842412 3902352060 4014803015 4817763618 6423684824 7804704120 8029606030 9635527236 12044409045 16059212060 19271054472 24088818090 32118424120 48177636180 85916784521 96355272360 171833569042 257750353563 343667138084 429583922605 515500707126 687334276168 859167845210 1031001414252 1288751767815 1718335690420 2062002828504 2577503535630 3436671380840 5155007071260 10310014142520