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10331431020030 = 23519292213282427
BaseRepresentation
bin1001011001010111100101…
…0001101010010111111110
31100120200020012011112101110
42112111321101222113332
52323232232320120110
633550105514022450
72114264330465601
oct226257121522776
940520205145343
1010331431020030
11332359851a92a
1211aa373417a26
1359c33296c023
1427a088784338
1512db26b9ba20
hex9657946a5fe

10331431020030 has 128 divisors (see below), whose sum is σ = 27012769574400. Its totient is φ = 2518896489984.

The previous prime is 10331431020013. The next prime is 10331431020047. The reversal of 10331431020030 is 3002013413301.

It is an interprime number because it is at equal distance from previous prime (10331431020013) and next prime (10331431020047).

It is a super-2 number, since 2×103314310200302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10331431019979 and 10331431020006.

It is a congruent number.

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, 36439677 + ... + 36722103.

It is an arithmetic number, because the mean of its divisors is an integer number (211037262300).

Almost surely, 210331431020030 is an apocalyptic number.

10331431020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331431020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506384787200).

10331431020030 is an abundant number, since it is smaller than the sum of its proper divisors (16681338554370).

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

10331431020030 is a wasteful number, since it uses less digits than its factorization.

10331431020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284698.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10331431020030 its reverse (3002013413301), we get a palindrome (13333444433331).

The spelling of 10331431020030 in words is "ten trillion, three hundred thirty-one billion, four hundred thirty-one million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2213 2755 3306 4426 5510 6639 8265 11065 13278 16530 22130 33195 42047 64177 66390 84094 126141 128354 192531 210235 252282 282427 320885 385062 420470 564854 630705 641770 847281 962655 1219363 1261410 1412135 1694562 1925310 2438726 2824270 3658089 4236405 5366113 6096815 7316178 8190383 8472810 10732226 12193630 16098339 16380766 18290445 24571149 26830565 32196678 36580890 40951915 49142298 53661130 80491695 81903830 122855745 155617277 160983390 245711490 311234554 466851831 625010951 778086385 933703662 1250021902 1556172770 1875032853 2334259155 3125054755 3750065706 4668518310 6250109510 9375164265 11875208069 18125317579 18750328530 23750416138 35625624207 36250635158 54375952737 59376040345 71251248414 90626587895 108751905474 118752080690 178128121035 181253175790 271879763685 344381034001 356256242070 543759527370 688762068002 1033143102003 1721905170005 2066286204006 3443810340010 5165715510015 10331431020030