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1010010202240 = 27513121395457
BaseRepresentation
bin11101011001010010100…
…11001010000010000000
310120120000100101101110011
432230221103022002000
5113022000102432430
62051554155514304
7132653665032064
oct16545123120200
93516010341404
101010010202240
1135a385479006
121438b6458994
1374322118930
1436c55aa3aa4
151b41548c22a
hexeb294ca080

1010010202240 has 64 divisors (see below), whose sum is σ = 2600290710360. Its totient is φ = 372926840832.

The previous prime is 1010010202217. The next prime is 1010010202241. The reversal of 1010010202240 is 422020100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 624845982784 + 385164219456 = 790472^2 + 620616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1010010202240.

It is not an unprimeable number, because it can be changed into a prime (1010010202241) 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, 60689409 + ... + 60706048.

Almost surely, 21010010202240 is an apocalyptic number.

1010010202240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010202240 is an abundant number, since it is smaller than the sum of its proper divisors (1590280508120).

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

1010010202240 is a wasteful number, since it uses less digits than its factorization.

1010010202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121395489 (or 121395477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1010010202240 its reverse (422020100101), we get a palindrome (1432030302341).

The spelling of 1010010202240 in words is "one trillion, ten billion, ten million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 121395457 242790914 485581828 606977285 971163656 1213954570 1578140941 1942327312 2427909140 3156281882 3884654624 4855818280 6312563764 7769309248 7890704705 9711636560 12625127528 15538618496 15781409410 19423273120 25250255056 31562818820 38846546240 50500510112 63125637640 77693092480 101001020224 126251275280 202002040448 252502550560 505005101120 1010010202240