Search a number
-
+
10200000110120 = 235255000002753
BaseRepresentation
bin1001010001101101111101…
…1000100001111000101000
31100010002222112201112101022
42110123133120201320220
52314104100012010440
633405452041312012
72101632340260332
oct224333730417050
940102875645338
1010200000110120
11328288316aa27
1211889b3495608
1358cb184b5852
1427397b23c452
1512a4d33d9cb5
hex946df621e28

10200000110120 has 16 divisors (see below), whose sum is σ = 22950000247860. Its totient is φ = 4080000044032.

The previous prime is 10200000110077. The next prime is 10200000110123. The reversal of 10200000110120 is 2101100000201.

It can be written as a sum of positive squares in 2 ways, for example, as 8348620802404 + 1851379307716 = 2889398^2 + 1360654^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10200000110098 and 10200000110107.

It is not an unprimeable number, because it can be changed into a prime (10200000110123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127500001337 + ... + 127500001416.

Almost surely, 210200000110120 is an apocalyptic number.

10200000110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200000110120 is an abundant number, since it is smaller than the sum of its proper divisors (12750000137740).

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

10200000110120 is a wasteful number, since it uses less digits than its factorization.

10200000110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255000002764 (or 255000002760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200000110120 its reverse (2101100000201), we get a palindrome (12301100110321).

The spelling of 10200000110120 in words is "ten trillion, two hundred billion, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 255000002753 510000005506 1020000011012 1275000013765 2040000022024 2550000027530 5100000055060 10200000110120