Search a number
-
+
21212121111000 = 2335322721311197
BaseRepresentation
bin1001101001010110101001…
…11100011001100111011000
32210002212012012011212001020
410310223110330121213120
510240014411001023000
6113040414112122440
74316345064330651
oct464532474314730
983085165155036
1021212121111000
116839012406236
122467074536420
13bab3a9b58a71
1453495a4cc528
1526bb98c66ba0
hex134ad4f199d8

21212121111000 has 128 divisors (see below), whose sum is σ = 66184943348160. Its totient is φ = 5656298496000.

The previous prime is 21212121110981. The next prime is 21212121111059. The reversal of 21212121111000 is 11112121212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68007402 + ... + 68318598.

Almost surely, 221212121111000 is an apocalyptic number.

21212121111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212121111000 is an abundant number, since it is smaller than the sum of its proper divisors (44972822237160).

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

21212121111000 is a wasteful number, since it uses less digits than its factorization.

21212121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333942 (or 333928 counting only the distinct ones).

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

Adding to 21212121111000 its reverse (11112121212), we get a palindrome (21223233232212).

The spelling of 21212121111000 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 22721 45442 68163 90884 113605 136326 181768 227210 272652 311197 340815 454420 545304 568025 622394 681630 908840 933591 1136050 1244788 1363260 1555985 1704075 1867182 2272100 2489576 2726520 2840125 3111970 3408150 3734364 4544200 4667955 5680250 6223940 6816300 7468728 7779925 8520375 9335910 11360500 12447880 13632600 15559850 17040750 18671820 22721000 23339775 31119700 34081500 37343640 38899625 46679550 62239400 68163000 77799250 93359100 116698875 155598500 186718200 233397750 311197000 466795500 933591000 7070707037 14141414074 21212121111 28282828148 35353535185 42424242222 56565656296 70707070370 84848484444 106060605555 141414140740 169696968888 176767675925 212121211110 282828281480 353535351850 424242422220 530303027775 707070703700 848484844440 883838379625 1060606055550 1414141407400 1767676759250 2121212111100 2651515138875 3535353518500 4242424222200 5303030277750 7070707037000 10606060555500 21212121111000