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10022200021020 = 223511110691371863
BaseRepresentation
bin1001000111010111100110…
…1011000001000000011100
31022111010001100111011120010
42101311321223001000130
52303200431201133040
633152045104323220
72053036313405535
oct221657153010034
938433040434503
1010022200021020
1132144336a7430
12115a452613510
13579121571235
1426911169968c
15125a78dd1e80
hex91d79ac101c

10022200021020 has 96 divisors (see below), whose sum is σ = 30616053511680. Its totient is φ = 2429402978560.

The previous prime is 10022200021003. The next prime is 10022200021091. The reversal of 10022200021020 is 2012000222001.

It is a super-2 number, since 2×100222000210202 (a number of 27 digits) contains 22 as substring.

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 = 10022200020987 and 10022200021005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6619609 + ... + 7991471.

It is an arithmetic number, because the mean of its divisors is an integer number (318917224080).

Almost surely, 210022200021020 is an apocalyptic number.

10022200021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022200021020 is an abundant number, since it is smaller than the sum of its proper divisors (20593853490660).

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

10022200021020 is a wasteful number, since it uses less digits than its factorization.

10022200021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382955 (or 1382953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022200021020 its reverse (2012000222001), we get a palindrome (12034200243021).

The spelling of 10022200021020 in words is "ten trillion, twenty-two billion, two hundred million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 11069 22138 33207 44276 55345 66414 110690 121759 132828 166035 221380 243518 332070 365277 487036 608795 664140 730554 1217590 1371863 1461108 1826385 2435180 2743726 3652770 4115589 5487452 6859315 7305540 8231178 13718630 15090493 16462356 20577945 27437260 30180986 41155890 45271479 60361972 75452465 82311780 90542958 150904930 181085916 226357395 301809860 452714790 905429580 15185151547 30370303094 45555454641 60740606188 75925757735 91110909282 151851515470 167036667017 182221818564 227777273205 303703030940 334073334034 455554546410 501110001051 668146668068 835183335085 911109092820 1002220002102 1670366670170 2004440004204 2505550005255 3340733340340 5011100010510 10022200021020