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20000102210010 = 23251317094104453
BaseRepresentation
bin1001000110000101000101…
…11111001101100111011010
32121210222202111210022102200
410203002202333031213122
510110140202131210020
6110311530424511030
74132650114550146
oct443024277154732
977728674708380
1020000102210010
116410aa5328a1a
1222b01a191b476
13b2100351c430
144d201da66226
1524a3add25590
hex1230a2fcd9da

20000102210010 has 48 divisors (see below), whose sum is σ = 56000286191304. Its totient is φ = 4923102082176.

The previous prime is 20000102210009. The next prime is 20000102210017. The reversal of 20000102210010 is 1001220100002.

It can be written as a sum of positive squares in 4 ways, for example, as 8093234109321 + 11906868100689 = 2844861^2 + 3450633^2 .

It is a super-2 number, since 2×200001022100102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20000102209974 and 20000102210001.

It is not an unprimeable number, because it can be changed into a prime (20000102210017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8547051057 + ... + 8547053396.

Almost surely, 220000102210010 is an apocalyptic number.

20000102210010 is an abundant number, since it is smaller than the sum of its proper divisors (36000183981294).

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

20000102210010 is a wasteful number, since it uses less digits than its factorization.

20000102210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094104479 (or 17094104476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20000102210010 its reverse (1001220100002), we get a palindrome (21001322310012).

The spelling of 20000102210010 in words is "twenty trillion, one hundred two million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 17094104453 34188208906 51282313359 85470522265 102564626718 153846940077 170941044530 222223357889 256411566795 307693880154 444446715778 512823133590 666670073667 769234700385 1111116789445 1333340147334 1538469400770 2000010221001 2222233578890 3333350368335 4000020442002 6666700736670 10000051105005 20000102210010