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10002022324 = 2274110186263
BaseRepresentation
bin10010101000010101…
…01011111110110100
3221211001120101020021
421110022223332310
5130441004203244
64332254014524
7502600533640
oct112412537664
927731511207
1010002022324
114272976458
121b317a7444
13c35247b08
146ac52bc20
153d815c284
hex2542abfb4

10002022324 has 48 divisors (see below), whose sum is σ = 20695078656. Its totient is φ = 4140576000.

The previous prime is 10002022321. The next prime is 10002022343. The reversal of 10002022324 is 42322020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002022298 and 10002022307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002022321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72817 + ... + 159079.

It is an arithmetic number, because the mean of its divisors is an integer number (431147472).

Almost surely, 210002022324 is an apocalyptic number.

10002022324 is a gapful number since it is divisible by the number (14) 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 10002022324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347539328).

10002022324 is an abundant number, since it is smaller than the sum of its proper divisors (10693056332).

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

10002022324 is a wasteful number, since it uses less digits than its factorization.

10002022324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86416 (or 86414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10002022324 its reverse (42322020001), we get a palindrome (52324042325).

The spelling of 10002022324 in words is "ten billion, two million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 82 101 164 202 287 404 574 707 1148 1414 2828 4141 8282 16564 28987 57974 86263 115948 172526 345052 603841 1207682 2415364 3536783 7073566 8712563 14147132 17425126 24757481 34850252 49514962 60987941 99029924 121975882 243951764 357215083 714430166 1428860332 2500505581 5001011162 10002022324