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23202012042 = 23211713135273
BaseRepresentation
bin10101100110111100…
…101001101110001010
32012212222200100000100
4111212330221232022
5340004203341132
614354151350230
71450652563656
oct254674515612
965788610010
1023202012042
119926a27070
1245b6382376
132259b9c211
1411a1675a66
1590be1537c
hex566f29b8a

23202012042 has 96 divisors (see below), whose sum is σ = 55801789056. Its totient is φ = 6908428800.

The previous prime is 23202011981. The next prime is 23202012061. The reversal of 23202012042 is 24021020232.

It is a super-2 number, since 2×232020120422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4397518 + ... + 4402790.

It is an arithmetic number, because the mean of its divisors is an integer number (581268636).

Almost surely, 223202012042 is an apocalyptic number.

23202012042 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 23202012042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900894528).

23202012042 is an abundant number, since it is smaller than the sum of its proper divisors (32599777014).

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

23202012042 is a wasteful number, since it uses less digits than its factorization.

23202012042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23202012042 its reverse (24021020232), we get a palindrome (47223032274).

The spelling of 23202012042 in words is "twenty-three billion, two hundred two million, twelve thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 313 426 626 639 781 939 1278 1562 1878 2343 2817 3443 4686 5273 5634 6886 7029 10329 10546 14058 15819 20658 22223 30987 31638 44446 47457 58003 61974 66669 94914 116006 133338 174009 200007 244453 348018 374383 400014 488906 522027 733359 748766 1044054 1123149 1466718 1650449 2200077 2246298 3300898 3369447 4118213 4400154 4951347 6738894 8236426 9902694 12354639 14854041 18154939 24709278 29708082 36309878 37063917 54464817 74127834 108929634 117181879 163394451 234363758 326788902 351545637 703091274 1054636911 1289000669 2109273822 2578001338 3867002007 7734004014 11601006021 23202012042