Search a number
-
+
20102221212120 = 233456204389263
BaseRepresentation
bin1001001001000011010011…
…10000010010100111011000
32122011202100100201010010000
410210201221300102213120
510113323322112241440
6110430455525253000
74143223532004315
oct444415160224730
978152310633100
1020102221212120
1164503388a0733
122307b41264160
13b2a829040b78
144d6d4a2bbd0c
1524cd890cc730
hex124869c129d8

20102221212120 has 80 divisors (see below), whose sum is σ = 67565799084960. Its totient is φ = 5360592322368.

The previous prime is 20102221212109. The next prime is 20102221212133. The reversal of 20102221212120 is 2121212220102.

It is a happy number.

20102221212120 is a `hidden beast` number, since 201 + 0 + 222 + 121 + 2 + 120 = 666.

It is a super-2 number, since 2×201022212121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20102221212093 and 20102221212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3102191392 + ... + 3102197871.

It is an arithmetic number, because the mean of its divisors is an integer number (844572488562).

Almost surely, 220102221212120 is an apocalyptic number.

20102221212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102221212120 is an abundant number, since it is smaller than the sum of its proper divisors (47463577872840).

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

20102221212120 is a wasteful number, since it uses less digits than its factorization.

20102221212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204389286 (or 6204389273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102221212120 its reverse (2121212220102), we get a palindrome (22223433432222).

The spelling of 20102221212120 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6204389263 12408778526 18613167789 24817557052 31021946315 37226335578 49635114104 55839503367 62043892630 74452671156 93065838945 111679006734 124087785260 148905342312 167518510101 186131677890 223358013468 248175570520 279197516835 335037020202 372263355780 446716026936 502555530303 558395033670 670074040404 744526711560 837592550505 1005111060606 1116790067340 1340148080808 1675185101010 2010222121212 2233580134680 2512777651515 3350370202020 4020444242424 5025555303030 6700740404040 10051110606060 20102221212120