Search a number
-
+
1010220010000 = 2454191528911
BaseRepresentation
bin11101011001101011100…
…11100000101000010000
310120120112222011201120221
432230311303200220100
5113022412310310000
62052031052442424
7132662123255365
oct16546563405020
93516488151527
101010220010000
1135a48294a753
12143954779414
1374356728136
1436c758ba46c
151b428ad261a
hexeb35ce0a10

1010220010000 has 100 divisors (see below), whose sum is σ = 2458653778944. Its totient is φ = 401971600000.

The previous prime is 1010220009989. The next prime is 1010220010001. The reversal of 1010220010000 is 100220101.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1010220010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1645545 + ... + 2174455.

Almost surely, 21010220010000 is an apocalyptic number.

1010220010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229326889472).

1010220010000 is an abundant number, since it is smaller than the sum of its proper divisors (1448433768944).

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

1010220010000 is an equidigital number, since it uses as much as digits as its factorization.

1010220010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529130 (or 529109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010220010000 its reverse (100220101), we get a palindrome (1010320230101).

The spelling of 1010220010000 in words is "one trillion, ten billion, two hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 625 764 955 1000 1250 1528 1910 2000 2500 3056 3820 4775 5000 7640 9550 10000 15280 19100 23875 38200 47750 76400 95500 119375 191000 238750 382000 477500 528911 955000 1057822 1910000 2115644 2644555 4231288 5289110 8462576 10578220 13222775 21156440 26445550 42312880 52891100 66113875 101022001 105782200 132227750 202044002 211564400 264455500 330569375 404088004 505110005 528911000 661138750 808176008 1010220010 1057822000 1322277500 1616352016 2020440020 2525550025 2644555000 4040880040 5051100050 5289110000 8081760080 10102200100 12627750125 20204400200 25255500250 40408800400 50511000500 63138750625 101022001000 126277501250 202044002000 252555002500 505110005000 1010220010000