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23323003242 = 2373116715377
BaseRepresentation
bin10101101110001010…
…001100100101101010
32020012102100022201220
4111232022030211222
5340231142100432
614414152522510
71453652154000
oct255612144552
966172308656
1023323003242
1199892555a0
12462a9b0436
132278c82346
1411b376ca70
1591786472c
hex56e28c96a

23323003242 has 128 divisors (see below), whose sum is σ = 60232550400. Its totient is φ = 5967118080.

The previous prime is 23323003183. The next prime is 23323003259. The reversal of 23323003242 is 24230032332.

It is a happy number.

23323003242 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1509058 + ... + 1524434.

It is an arithmetic number, because the mean of its divisors is an integer number (470566800).

Almost surely, 223323003242 is an apocalyptic number.

23323003242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23323003242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116275200).

23323003242 is an abundant number, since it is smaller than the sum of its proper divisors (36909547158).

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

23323003242 is a wasteful number, since it uses less digits than its factorization.

23323003242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23323003242 its reverse (24230032332), we get a palindrome (47553035574).

The spelling of 23323003242 in words is "twenty-three billion, three hundred twenty-three million, three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 67 77 98 134 147 154 201 231 294 343 402 462 469 539 686 737 938 1029 1078 1407 1474 1617 2058 2211 2814 3234 3283 3773 4422 5159 6566 7546 9849 10318 11319 15377 15477 19698 22638 22981 30754 30954 36113 45962 46131 68943 72226 92262 107639 108339 137886 169147 215278 216678 252791 322917 338294 505582 507441 645834 753473 758373 1014882 1030259 1184029 1506946 1516746 2060518 2260419 2368058 3090777 3552087 4520838 5274311 6181554 7104174 7211813 8288203 10548622 11332849 14423626 15822933 16576406 21635439 22665698 24864609 31645866 33998547 43270878 49729218 50482691 58017421 67997094 79329943 100965382 116034842 151448073 158659886 174052263 237989829 302896146 348104526 353378837 475979658 555309601 706757674 1060136511 1110619202 1665928803 2120273022 3331857606 3887167207 7774334414 11661501621 23323003242