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23115053340 = 223251743175673
BaseRepresentation
bin10101100001110000…
…111011100100011100
32012122221001101002200
4111201300323210130
5334314423201330
614341403451500
71445545466031
oct254160734434
965587041080
1023115053340
119891932775
124591226b90
132244b73672
141193cbb388
15904489a60
hex561c3b91c

23115053340 has 144 divisors (see below), whose sum is σ = 75967059168. Its totient is φ = 5666476032.

The previous prime is 23115053317. The next prime is 23115053363. The reversal of 23115053340 is 4335051132.

23115053340 is a `hidden beast` number, since 2 + 311 + 5 + 0 + 5 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (23115053317) and next prime (23115053363).

It is a super-2 number, since 2×231150533402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43744 + ... + 219416.

It is an arithmetic number, because the mean of its divisors is an integer number (527549022).

Almost surely, 223115053340 is an apocalyptic number.

23115053340 is a gapful number since it is divisible by the number (20) 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 23115053340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37983529584).

23115053340 is an abundant number, since it is smaller than the sum of its proper divisors (52852005828).

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

23115053340 is a wasteful number, since it uses less digits than its factorization.

23115053340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175748 (or 175743 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 23115053340 in words is "twenty-three billion, one hundred fifteen million, fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 510 516 612 645 731 765 774 860 1020 1290 1462 1530 1548 1935 2193 2580 2924 3060 3655 3870 4386 6579 7310 7740 8772 10965 13158 14620 21930 26316 32895 43860 65790 131580 175673 351346 527019 702692 878365 1054038 1581057 1756730 2108076 2635095 2986441 3162114 3513460 5270190 5972882 6324228 7553939 7905285 8959323 10540380 11945764 14932205 15107878 15810570 17918646 22661817 26877969 29864410 30215756 31621140 35837292 37769695 44796615 45323634 53755938 59728820 67985451 75539390 89593230 90647268 107511876 113309085 128416963 134389845 135970902 151078780 179186460 226618170 256833926 268779690 271941804 339927255 385250889 453236340 513667852 537559380 642084815 679854510 770501778 1155752667 1284169630 1359709020 1541003556 1926254445 2311505334 2568339260 3852508890 4623010668 5778763335 7705017780 11557526670 23115053340