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10201430023020 = 22325683353923447
BaseRepresentation
bin1001010001110011010010…
…0111001101101101101100
31100010020200012100122010100
42110130310213031231230
52314120012041214040
633410250001311100
72102012642316525
oct224346447155554
940106605318110
1010201430023020
11328344732a725
121189132335490
1358ccb5808762
14273a750d984c
1512a568bdcb30
hex947349cdb6c

10201430023020 has 144 divisors (see below), whose sum is σ = 30999722906880. Its totient is φ = 2715514969728.

The previous prime is 10201430023007. The next prime is 10201430023067. The reversal of 10201430023020 is 2032003410201.

10201430023020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 430 + 0 + 230 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201430022984 and 10201430023002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435072937 + ... + 435096383.

It is an arithmetic number, because the mean of its divisors is an integer number (215275853520).

Almost surely, 210201430023020 is an apocalyptic number.

10201430023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201430023020 is an abundant number, since it is smaller than the sum of its proper divisors (20798292883860).

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

10201430023020 is a wasteful number, since it uses less digits than its factorization.

10201430023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27684 (or 27679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10201430023020 its reverse (2032003410201), we get a palindrome (12233433433221).

The spelling of 10201430023020 in words is "ten trillion, two hundred one billion, four hundred thirty million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 683 1366 2049 2732 3415 3539 4098 6147 6830 7078 8196 10245 10617 12294 13660 14156 17695 20490 21234 23447 24588 30735 31851 35390 40980 42468 46894 53085 61470 63702 70341 70780 93788 106170 117235 122940 127404 140682 159255 211023 212340 234470 281364 318510 351705 422046 468940 637020 703410 844092 1055115 1406820 2110230 2417137 4220460 4834274 7251411 9668548 12085685 14502822 16014301 21754233 24171370 29005644 32028602 36257055 43508466 48042903 48342740 64057204 72514110 80071505 82978933 87016932 96085806 108771165 144128709 145028220 160143010 165957866 192171612 217542330 240214515 248936799 288257418 320286020 331915732 414894665 435084660 480429030 497873598 576514836 720643545 746810397 829789330 960858060 995747196 1244683995 1441287090 1493620794 1659578660 2489367990 2882574180 2987241588 3734051985 4978735980 7468103970 14936207940 56674611239 113349222478 170023833717 226698444956 283373056195 340047667434 510071501151 566746112390 680095334868 850119168585 1020143002302 1133492224780 1700238337170 2040286004604 2550357505755 3400476674340 5100715011510 10201430023020