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21122121112020 = 22325160173294889
BaseRepresentation
bin1001100110101111000001…
…00001101001100111010100
32202210020212221022012022200
410303113200201221213110
510232031101001041040
6112531211331524500
74310010565060245
oct463274041514724
982706787265280
1021122121112020
116803928795995
122451737759730
13ba2a660370b6
1453045d5d0ccc
1526967c8da630
hex1335e08699d4

21122121112020 has 72 divisors (see below), whose sum is σ = 64110453923880. Its totient is φ = 5629047398400.

The previous prime is 21122121111967. The next prime is 21122121112051. The reversal of 21122121112020 is 2021112122112.

21122121112020 is a `hidden beast` number, since 211 + 221 + 21 + 11 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2549917147716 + 18572203964304 = 1596846^2 + 4309548^2 .

It is a super-2 number, since 2×211221211120202 (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 = 21122121111984 and 21122121112002.

It is a congruent number.

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, 36359265 + ... + 36935624.

It is an arithmetic number, because the mean of its divisors is an integer number (890422971165).

Almost surely, 221122121112020 is an apocalyptic number.

21122121112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122121112020 is an abundant number, since it is smaller than the sum of its proper divisors (42988332811860).

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

21122121112020 is a wasteful number, since it uses less digits than its factorization.

21122121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73296505 (or 73296500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122121112020 its reverse (2021112122112), we get a palindrome (23143233234132).

The spelling of 21122121112020 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1601 3202 4803 6404 8005 9606 14409 16010 19212 24015 28818 32020 48030 57636 72045 96060 144090 288180 73294889 146589778 219884667 293179556 366474445 439769334 659654001 732948890 879538668 1099423335 1319308002 1465897780 2198846670 2638616004 3298270005 4397693340 6596540010 13193080020 117345117289 234690234578 352035351867 469380469156 586725586445 704070703734 1056106055601 1173451172890 1408141407468 1760176759335 2112212111202 2346902345780 3520353518670 4224424222404 5280530278005 7040707037340 10561060556010 21122121112020