Search a number
-
+
21212202221120 = 26582180740721
BaseRepresentation
bin1001101001010110110011…
…10001110011111001000000
32210002212101211210200012202
410310223121301303321000
510240020042232033440
6113040430130412332
74316350100626421
oct464533161637100
983085354720182
1021212202221120
116839054175499
1224670977310a8
13bab3c08b7511
145349671a3648
1526bba0e39615
hex134ad9c73e40

21212202221120 has 56 divisors (see below), whose sum is σ = 50573081594808. Its totient is φ = 8474545971200.

The previous prime is 21212202221113. The next prime is 21212202221129. The reversal of 21212202221120 is 2112220221212.

It can be written as a sum of positive squares in 4 ways, for example, as 5759692804096 + 15452509417024 = 2399936^2 + 3930968^2 .

It is a super-2 number, since 2×212122022211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21212202221092 and 21212202221101.

It is not an unprimeable number, because it can be changed into a prime (21212202221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40107641 + ... + 40633080.

Almost surely, 221212202221120 is an apocalyptic number.

21212202221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212202221120 is an abundant number, since it is smaller than the sum of its proper divisors (29360879373688).

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

21212202221120 is an equidigital number, since it uses as much as digits as its factorization.

21212202221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80741559 (or 80741549 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21212202221120 its reverse (2112220221212), we get a palindrome (23324422442332).

The spelling of 21212202221120 in words is "twenty-one trillion, two hundred twelve billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 821 1642 3284 4105 6568 8210 13136 16420 26272 32840 52544 65680 131360 262720 80740721 161481442 322962884 403703605 645925768 807407210 1291851536 1614814420 2583703072 3229628840 5167406144 6459257680 12918515360 25837030720 66288131941 132576263882 265152527764 331440659705 530305055528 662881319410 1060610111056 1325762638820 2121220222112 2651525277640 4242440444224 5303050555280 10606101110560 21212202221120