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2353441102020 = 223452296343849
BaseRepresentation
bin100010001111110100000…
…001010101100011000100
322022222122100122010220000
4202033310001111203010
5302024321410231040
65001053402241300
7332013315205521
oct42176401254304
98288570563800
102353441102020
118280a8169aa8
123201427b6230
13140c0c019b28
1481c9b34c148
15413421a7130
hex223f40558c4

2353441102020 has 120 divisors (see below), whose sum is σ = 7415072511000. Its totient is φ = 624843652608.

The previous prime is 2353441102007. The next prime is 2353441102073. The reversal of 2353441102020 is 202011443532.

2353441102020 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 441 + 10 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348062241024 + 2005378860996 = 589968^2 + 1416114^2 .

It is a super-2 number, since 2×23534411020202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2800945 + ... + 3542904.

It is an arithmetic number, because the mean of its divisors is an integer number (61792270925).

Almost surely, 22353441102020 is an apocalyptic number.

2353441102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2353441102020 is an abundant number, since it is smaller than the sum of its proper divisors (5061631408980).

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

2353441102020 is a wasteful number, since it uses less digits than its factorization.

2353441102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344099 (or 6344088 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2353441102020 its reverse (202011443532), we get a palindrome (2555452545552).

The spelling of 2353441102020 in words is "two trillion, three hundred fifty-three billion, four hundred forty-one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 229 270 324 405 458 540 687 810 916 1145 1374 1620 2061 2290 2748 3435 4122 4580 6183 6870 8244 10305 12366 13740 18549 20610 24732 30915 37098 41220 61830 74196 92745 123660 185490 370980 6343849 12687698 19031547 25375396 31719245 38063094 57094641 63438490 76126188 95157735 114189282 126876980 171283923 190315470 228378564 285473205 342567846 380630940 513851769 570946410 685135692 856419615 1027703538 1141892820 1452741421 1712839230 2055407076 2569258845 2905482842 3425678460 4358224263 5138517690 5810965684 7263707105 8716448526 10277035380 13074672789 14527414210 17432897052 21791121315 26149345578 29054828420 39224018367 43582242630 52298691156 65373363945 78448036734 87164485260 117672055101 130746727890 156896073468 196120091835 235344110202 261493455780 392240183670 470688220404 588360275505 784480367340 1176720551010 2353441102020