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10022441444301 = 3112134261498439
BaseRepresentation
bin1001000111011000100000…
…0011111110001111001101
31022111010200011202202001010
42101312020003332033031
52303201430002204201
633152125051035433
72053045304436516
oct221661003761715
938433604682033
1010022441444301
113214547a02300
12115a4bb43bb79
1357915c59cb50
14269135781a0d
15125a901bebd6
hex91d880fe3cd

10022441444301 has 48 divisors (see below), whose sum is σ = 15822168333440. Its totient is φ = 5605633123200.

The previous prime is 10022441444287. The next prime is 10022441444359. The reversal of 10022441444301 is 10344414422001.

It is a happy number.

10022441444301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022441444301 - 217 = 10022441313229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022441444371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19858440 + ... + 20356878.

Almost surely, 210022441444301 is an apocalyptic number.

10022441444301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022441444301 is a deficient number, since it is larger than the sum of its proper divisors (5799726889139).

10022441444301 is a wasteful number, since it uses less digits than its factorization.

10022441444301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502738 (or 502727 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10022441444301 its reverse (10344414422001), we get a palindrome (20366855866302).

The spelling of 10022441444301 in words is "ten trillion, twenty-two billion, four hundred forty-one million, four hundred forty-four thousand, three hundred one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4261 4719 12783 46871 55393 140613 166179 498439 515581 609323 1495317 1546743 1827969 5482829 6479707 6702553 16448487 19439121 20107659 60311119 71276777 180933357 213830331 784044547 2123848579 2352133641 6371545737 23362334369 27610031527 70087003107 82830094581 256985678059 303710346797 770957034177 911131040391 3340813814767 10022441444301