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21121121002020 = 223513129792086321
BaseRepresentation
bin1001100110101101001001…
…11010100010001000100100
32202210011022020102100022120
410303112210322202020210
510232022023434031040
6112530524204025540
74306644032220534
oct463264472421044
982704266370276
1021121121002020
1168034651a74a6
1224514b88322b0
13ba2936a8bb30
145303a68554c4
1526961ebd67d0
hex1335a4ea2224

21121121002020 has 96 divisors (see below), whose sum is σ = 63693240885120. Its totient is φ = 5198642104320.

The previous prime is 21121121002013. The next prime is 21121121002027. The reversal of 21121121002020 is 2020012112112.

It is an interprime number because it is at equal distance from previous prime (21121121002013) and next prime (21121121002027).

It is a super-2 number, since 2×211211210020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21121121002027) by changing a digit.

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, 9080460 + ... + 11166780.

It is an arithmetic number, because the mean of its divisors is an integer number (663471259220).

Almost surely, 221121121002020 is an apocalyptic number.

21121121002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121121002020 is an abundant number, since it is smaller than the sum of its proper divisors (42572119883100).

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

21121121002020 is a wasteful number, since it uses less digits than its factorization.

21121121002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099325 (or 2099323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21121121002020 its reverse (2020012112112), we get a palindrome (23141133114132).

The spelling of 21121121002020 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 12979 25958 38937 51916 64895 77874 129790 155748 168727 194685 259580 337454 389370 506181 674908 778740 843635 1012362 1687270 2024724 2086321 2530905 3374540 4172642 5061810 6258963 8345284 10123620 10431605 12517926 20863210 25035852 27122173 31294815 41726420 54244346 62589630 81366519 108488692 125179260 135610865 162733038 271221730 325466076 406832595 542443460 813665190 1627330380 27078360259 54156720518 81235080777 108313441036 135391801295 162470161554 270783602590 324940323108 352018683367 406175403885 541567205180 704037366734 812350807770 1056056050101 1408074733468 1624701615540 1760093416835 2112112100202 3520186833670 4224224200404 5280280250505 7040373667340 10560560501010 21121121002020