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10122344424 = 2332140588117
BaseRepresentation
bin10010110110101011…
…01011011111101000
3222010102222101010100
421123111223133220
5131212310010144
64352232545400
7505561336143
oct113325533750
928112871110
1010122344424
114324888205
121b65b52260
13c5415551a
146c04cd05a
153e39c8269
hex25b56b7e8

10122344424 has 24 divisors (see below), whose sum is σ = 27414683010. Its totient is φ = 3374114784.

The previous prime is 10122344399. The next prime is 10122344429. The reversal of 10122344424 is 42444322101.

10122344424 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 234 + 4 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7010712900 + 3111631524 = 83730^2 + 55782^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (10122344429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70293987 + ... + 70294130.

Almost surely, 210122344424 is an apocalyptic number.

It is an amenable number.

10122344424 is an abundant number, since it is smaller than the sum of its proper divisors (17292338586).

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

10122344424 is a wasteful number, since it uses less digits than its factorization.

10122344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140588129 (or 140588122 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10122344424 its reverse (42444322101), we get a palindrome (52566666525).

The spelling of 10122344424 in words is "ten billion, one hundred twenty-two million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140588117 281176234 421764351 562352468 843528702 1124704936 1265293053 1687057404 2530586106 3374114808 5061172212 10122344424