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24122423130 = 2351388170207
BaseRepresentation
bin10110011101110011…
…101111011101011010
32022021010121001122220
4112131303233131122
5343400320020010
615025351124510
71512530133141
oct263563573532
968233531586
1024122423130
11a25952a593
124812673736
132375791170
14124b9c6758
15962b24970
hex59dcef75a

24122423130 has 64 divisors (see below), whose sum is σ = 62418843648. Its totient is φ = 5931002880.

The previous prime is 24122423089. The next prime is 24122423131. The reversal of 24122423130 is 3132422142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 24122423130.

It is not an unprimeable number, because it can be changed into a prime (24122423131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308487 + ... + 378693.

It is an arithmetic number, because the mean of its divisors is an integer number (975294432).

Almost surely, 224122423130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24122423130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31209421824).

24122423130 is an abundant number, since it is smaller than the sum of its proper divisors (38296420518).

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

24122423130 is a wasteful number, since it uses less digits than its factorization.

24122423130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71111.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24122423130 its reverse (3132422142), we get a palindrome (27254845272).

The spelling of 24122423130 in words is "twenty-four billion, one hundred twenty-two million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 881 1762 2643 4405 5286 8810 11453 13215 22906 26430 34359 57265 68718 70207 114530 140414 171795 210621 343590 351035 421242 702070 912691 1053105 1825382 2106210 2738073 4563455 5476146 9126910 13690365 27380730 61852367 123704734 185557101 309261835 371114202 618523670 804080771 927785505 1608161542 1855571010 2412242313 4020403855 4824484626 8040807710 12061211565 24122423130