Search a number
-
+
10220020022120 = 235172884084777
BaseRepresentation
bin1001010010111000100010…
…1010011011101101101000
31100012000122202201102202112
42110232020222123231220
52314421100111201440
633423002401421452
72103241423565606
oct224561052335550
940160582642675
1010220020022120
11329031695a147
12119086003a888
1359198904281c
1427491a028876
1512aca5c8a965
hex94b88a9bb68

10220020022120 has 48 divisors (see below), whose sum is σ = 24427262416140. Its totient is φ = 3847536945152.

The previous prime is 10220020022063. The next prime is 10220020022143. The reversal of 10220020022120 is 2122002002201.

It can be written as a sum of positive squares in 6 ways, for example, as 8714103265156 + 1505916756964 = 2951966^2 + 1227158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220020022095 and 10220020022104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442030829 + ... + 442053948.

Almost surely, 210220020022120 is an apocalyptic number.

10220020022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220020022120 is an abundant number, since it is smaller than the sum of its proper divisors (14207242394020).

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

10220020022120 is a wasteful number, since it uses less digits than its factorization.

10220020022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884084822 (or 884084801 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220020022120 its reverse (2122002002201), we get a palindrome (12342022024321).

The spelling of 10220020022120 in words is "ten trillion, two hundred twenty billion, twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 884084777 1768169554 3536339108 4420423885 7072678216 8840847770 15029441209 17681695540 30058882418 35363391080 60117764836 75147206045 120235529672 150294412090 255500500553 300588824180 511001001106 601177648360 1022002002212 1277502502765 2044004004424 2555005005530 5110010011060 10220020022120