Search a number
-
+
21122111020120 = 2351167716489519
BaseRepresentation
bin1001100110101110111111…
…11011001001110001011000
32202210020212020022110211121
410303113133323021301120
510232031040410120440
6112531210331335024
74310010413225635
oct463273773116130
982706766273747
1021122111020120
116803923022780
1224517342b1474
13ba2a63c12766
1453045c12518c
1526967ba9534a
hex1335dfec9c58

21122111020120 has 64 divisors (see below), whose sum is σ = 52618990348800. Its totient is φ = 7566129310080.

The previous prime is 21122111020117. The next prime is 21122111020139. The reversal of 21122111020120 is 2102011122112.

It is a super-2 number, since 2×211221110201202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122111020094 and 21122111020103.

It is a congruent number.

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, 358215280 + ... + 358274239.

It is an arithmetic number, because the mean of its divisors is an integer number (822171724200).

Almost surely, 221122111020120 is an apocalyptic number.

21122111020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122111020120 is an abundant number, since it is smaller than the sum of its proper divisors (31496879328680).

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

21122111020120 is a wasteful number, since it uses less digits than its factorization.

21122111020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716489608 (or 716489604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122111020120 its reverse (2102011122112), we get a palindrome (23224122142232).

The spelling of 21122111020120 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 5896 7370 14740 29480 716489519 1432979038 2865958076 3582447595 5731916152 7164895190 7881384709 14329790380 15762769418 28659580760 31525538836 39406923545 48004797773 63051077672 78813847090 96009595546 157627694180 192019191092 240023988865 315255388360 384038382184 480047977730 528052775503 960095955460 1056105551006 1920191910920 2112211102012 2640263877515 4224422204024 5280527755030 10561055510060 21122111020120