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10022531442024 = 2331039814016171
BaseRepresentation
bin1001000111011000110101…
…1011010010010101101000
31022111010220110010002201010
42101312031123102111220
52303202121022121044
633152142024023520
72053050446422533
oct221661533222550
938433813102633
1010022531442024
113214593791992
12115a525601ba0
13579175120a3a
142691436cba1a
15125a9804abb9
hex91d8d6d2568

10022531442024 has 32 divisors (see below), whose sum is σ = 25056575814240. Its totient is φ = 3340810852800.

The previous prime is 10022531442023. The next prime is 10022531442029. The reversal of 10022531442024 is 42024413522001.

It is a happy number.

It is a super-2 number, since 2×100225314420242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022531441982 and 10022531442000.

It is not an unprimeable number, because it can be changed into a prime (10022531442023) 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, 487459 + ... + 4503629.

It is an arithmetic number, because the mean of its divisors is an integer number (783017994195).

Almost surely, 210022531442024 is an apocalyptic number.

It is an amenable number.

10022531442024 is an abundant number, since it is smaller than the sum of its proper divisors (15034044372216).

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

10022531442024 is a wasteful number, since it uses less digits than its factorization.

10022531442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120161 (or 4120157 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10022531442024 its reverse (42024413522001), we get a palindrome (52046944964025).

The spelling of 10022531442024 in words is "ten trillion, twenty-two billion, five hundred thirty-one million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 103981 207962 311943 415924 623886 831848 1247772 2495544 4016171 8032342 12048513 16064684 24097026 32129368 48194052 96388104 417605476751 835210953502 1252816430253 1670421907004 2505632860506 3340843814008 5011265721012 10022531442024