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11002021210020 = 2235472809102607
BaseRepresentation
bin1010000000011001101110…
…0100001110011110100100
31102221210010202220210012210
42200012123210032132210
52420224114412210040
635222131521043420
72213604225164031
oct240063344163644
942853122823183
1011002021210020
113561a27172a15
121298322786570
1361a6420b6509
142a0701b92388
151412c3d5b480
hexa019b90e7a4

11002021210020 has 144 divisors (see below), whose sum is σ = 31514257716480. Its totient is φ = 2867872175616.

The previous prime is 11002021210007. The next prime is 11002021210051. The reversal of 11002021210020 is 2001212020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11002021209978 and 11002021210005.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 107173557 + ... + 107276163.

It is an arithmetic number, because the mean of its divisors is an integer number (218849011920).

Almost surely, 211002021210020 is an apocalyptic number.

11002021210020 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 11002021210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757128858240).

11002021210020 is an abundant number, since it is smaller than the sum of its proper divisors (20512236506460).

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

11002021210020 is a wasteful number, since it uses less digits than its factorization.

11002021210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103522 (or 103473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11002021210020 its reverse (2001212020011), we get a palindrome (13003233230031).

The spelling of 11002021210020 in words is "eleven trillion, two billion, twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 809 940 1410 1618 2209 2427 2820 3236 4045 4418 4854 6627 8090 8836 9708 11045 12135 13254 16180 22090 24270 26508 33135 38023 44180 48540 66270 76046 102607 114069 132540 152092 190115 205214 228138 307821 380230 410428 456276 513035 570345 615642 760460 1026070 1140690 1231284 1539105 1787081 2052140 2281380 3078210 3574162 4822529 5361243 6156420 7148324 8935405 9645058 10722486 14467587 17870810 19290116 21444972 24112645 26806215 28935174 35741620 48225290 53612430 57870348 72337935 83009063 96450580 107224860 144675870 166018126 226658863 249027189 289351740 332036252 415045315 453317726 498054378 679976589 830090630 906635452 996108756 1133294315 1245135945 1359953178 1660181260 2266588630 2490271890 2719906356 3399882945 3901425961 4533177260 4980543780 6799765890 7802851922 11704277883 13599531780 15605703844 19507129805 23408555766 39014259610 46817111532 58521389415 78028519220 117042778830 183367020167 234085557660 366734040334 550101060501 733468080668 916835100835 1100202121002 1833670201670 2200404242004 2750505302505 3667340403340 5501010605010 11002021210020