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10041420042220 = 2257163983447637
BaseRepresentation
bin1001001000011111001101…
…0001100100111111101100
31022112221122211100102001011
42102013303101210333230
52304004312012322340
633204544212155004
72054316515034010
oct222076321447754
938487584312034
1010041420042220
1132215a691a876
121162117308a64
1357ab95485c48
1426a016148540
1512630142d0ea
hex921f3464fec

10041420042220 has 96 divisors (see below), whose sum is σ = 24271978042368. Its totient is φ = 3418162820352.

The previous prime is 10041420042211. The next prime is 10041420042271. The reversal of 10041420042220 is 2224002414001.

It is a junction number, because it is equal to n+sod(n) for n = 10041420042191 and 10041420042200.

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 31 ways as a sum of consecutive naturals, for example, 22208242 + ... + 22655878.

It is an arithmetic number, because the mean of its divisors is an integer number (252833104608).

Almost surely, 210041420042220 is an apocalyptic number.

10041420042220 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 10041420042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135989021184).

10041420042220 is an abundant number, since it is smaller than the sum of its proper divisors (14230558000148).

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

10041420042220 is a wasteful number, since it uses less digits than its factorization.

10041420042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448799 (or 448797 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10041420042220 its reverse (2224002414001), we get a palindrome (12265422456221).

The spelling of 10041420042220 in words is "ten trillion, forty-one billion, four hundred twenty million, forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 983 1141 1630 1966 2282 3260 3932 4564 4915 5705 6881 9830 11410 13762 19660 22820 27524 34405 68810 137620 160229 320458 447637 640916 801145 895274 1121603 1602290 1790548 2238185 2243206 3133459 3204580 4476370 4486412 5608015 6266918 8952740 11216030 12533836 15667295 22432060 31334590 62669180 72964831 145929662 291859324 364824155 440027171 510753817 729648310 880054342 1021507634 1459296620 1760108684 2043015268 2200135855 2553769085 3080190197 4400271710 5107538170 6160380394 8800543420 10215076340 12320760788 15400950985 30801901970 61603803940 71724428873 143448857746 286897715492 358622144365 502071002111 717244288730 1004142004222 1434488577460 2008284008444 2510355010555 5020710021110 10041420042220