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10002444444201 = 3111726611586693
BaseRepresentation
bin1001000110001110000000…
…1001011110001000101001
31022102020001112212212212210
42101203200021132020221
52302340001234203301
633135020505555333
72051436616645626
oct221434011361051
938366045785783
1010002444444201
113207016142140
12115665a4a5b49
135772c3705801
14268199a3b34d
151252be847ad6
hex918e025e229

10002444444201 has 48 divisors (see below), whose sum is σ = 15478568083008. Its totient is φ = 5696858956800.

The previous prime is 10002444444193. The next prime is 10002444444221. The reversal of 10002444444201 is 10244444420001.

It is not a de Polignac number, because 10002444444201 - 23 = 10002444444193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002444444221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5510611 + ... + 7097303.

It is an arithmetic number, because the mean of its divisors is an integer number (322470168396).

Almost surely, 210002444444201 is an apocalyptic number.

10002444444201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002444444201 is a deficient number, since it is larger than the sum of its proper divisors (5476123638807).

10002444444201 is a wasteful number, since it uses less digits than its factorization.

10002444444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587402 (or 1587385 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 10002444444201 its reverse (10244444420001), we get a palindrome (20246888864202).

It can be divided in two parts, 1000244 and 4444201, that added together give a palindrome (5444445).

The spelling of 10002444444201 in words is "ten trillion, two billion, four hundred forty-four million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 11 17 33 51 187 289 561 661 867 1983 3179 7271 9537 11237 21813 33711 123607 191029 370821 573087 1586693 2101319 4760079 6303957 17453623 26973781 52360869 80921343 296711591 458554277 890134773 1048804073 1375662831 3146412219 5044097047 11536844803 15132291141 17829669241 34610534409 53489007723 196126361651 303104377097 588379084953 909313131291 3334148148067 10002444444201