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21212011011120 = 2435241736567389
BaseRepresentation
bin1001101001010110011100…
…11000011001110000110000
32210002211220112000012101220
410310223032120121300300
510240014144304323440
6113040355140225040
74316342256442026
oct464531630316060
983084815005356
1021212011011120
116838a662465a6
12246704369b180
13bab3900ba0c7
14534949a2c716
1526bb8e2698d0
hex134ace619c30

21212011011120 has 80 divisors (see below), whose sum is σ = 65784442070880. Its totient is φ = 5654195802112.

The previous prime is 21212011011089. The next prime is 21212011011151. The reversal of 21212011011120 is 2111011021212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21212011011089) and next prime (21212011011151).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212120110111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21212011011120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17703615 + ... + 18863774.

It is an arithmetic number, because the mean of its divisors is an integer number (822305525886).

Almost surely, 221212011011120 is an apocalyptic number.

21212011011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212011011120 is an abundant number, since it is smaller than the sum of its proper divisors (44572431059760).

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

21212011011120 is a wasteful number, since it uses less digits than its factorization.

21212011011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36569822 (or 36569816 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21212011011120 its reverse (2111011021212), we get a palindrome (23323022032332).

The spelling of 21212011011120 in words is "twenty-one trillion, two hundred twelve billion, eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2417 4834 7251 9668 12085 14502 19336 24170 29004 36255 38672 48340 58008 72510 96680 116016 145020 193360 290040 580080 36567389 73134778 109702167 146269556 182836945 219404334 292539112 365673890 438808668 548510835 585078224 731347780 877617336 1097021670 1462695560 1755234672 2194043340 2925391120 4388086680 8776173360 88383379213 176766758426 265150137639 353533516852 441916896065 530300275278 707067033704 883833792130 1060600550556 1325750688195 1414134067408 1767667584260 2121201101112 2651501376390 3535335168520 4242402202224 5303002752780 7070670337040 10606005505560 21212011011120