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21121021201000 = 235372431041249
BaseRepresentation
bin1001100110101100111101…
…11101110100101001101000
32202210011001021121221001111
410303112132331310221220
510232021322411413000
6112530510241000104
74306641411014500
oct463263675645150
982704037557044
1021121021201000
116803413931516
12245148b323034
13ba291c1b7a86
145303974b6a00
15269616070cba
hex13359ef74a68

21121021201000 has 96 divisors (see below), whose sum is σ = 57492281925000. Its totient is φ = 7241492966400.

The previous prime is 21121021200973. The next prime is 21121021201031. The reversal of 21121021201000 is 10212012112.

It can be written as a sum of positive squares in 4 ways, for example, as 11664178461796 + 9456842739204 = 3415286^2 + 3075198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215471625 + ... + 215569624.

Almost surely, 221121021201000 is an apocalyptic number.

21121021201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121021201000 is an abundant number, since it is smaller than the sum of its proper divisors (36371260724000).

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

21121021201000 is a wasteful number, since it uses less digits than its factorization.

21121021201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431041284 (or 431041263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21121021201000 its reverse (10212012112), we get a palindrome (21131233213112).

The spelling of 21121021201000 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 431041249 862082498 1724164996 2155206245 3017288743 3448329992 4310412490 6034577486 8620824980 10776031225 12069154972 15086443715 17241649960 21121021201 21552062450 24138309944 30172887430 42242042402 43104124900 53880156125 60345774860 75432218575 84484084804 86208249800 105605106005 107760312250 120691549720 150864437150 168968169608 211210212010 215520624500 301728874300 377161092875 422420424020 431041249000 528025530025 603457748600 754322185750 844840848040 1056051060050 1508644371500 2112102120100 2640127650125 3017288743000 4224204240200 5280255300250 10560510600500 21121021201000