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23030034000 = 243539414079
BaseRepresentation
bin10101011100101100…
…100110111001010000
32012110000001221111020
4111130230212321100
5334131142042000
614325125315440
71443464026161
oct253454467120
965400057436
1023030034000
119848943456
124568865b80
13223037676c
1411868a9768
158ebc93ba0
hex55cb26e50

23030034000 has 160 divisors (see below), whose sum is σ = 74345955840. Its totient is φ = 6133312000.

The previous prime is 23030033959. The next prime is 23030034019. The reversal of 23030034000 is 43003032.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 5643961 + ... + 5648039.

It is an arithmetic number, because the mean of its divisors is an integer number (464662224).

Almost surely, 223030034000 is an apocalyptic number.

23030034000 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 23030034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37172977920).

23030034000 is an abundant number, since it is smaller than the sum of its proper divisors (51315921840).

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

23030034000 is a wasteful number, since it uses less digits than its factorization.

23030034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23030034000 its reverse (43003032), we get a palindrome (23073037032).

The spelling of 23030034000 in words is "twenty-three billion, thirty million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 941 1000 1200 1500 1882 2000 2823 3000 3764 4079 4705 5646 6000 7528 8158 9410 11292 12237 14115 15056 16316 18820 20395 22584 23525 24474 28230 32632 37640 40790 45168 47050 48948 56460 61185 65264 70575 75280 81580 94100 97896 101975 112920 117625 122370 141150 163160 188200 195792 203950 225840 235250 244740 282300 305925 326320 352875 376400 407900 470500 489480 509875 564600 611850 705750 815800 941000 978960 1019750 1129200 1223700 1411500 1529625 1631600 1882000 2039500 2447400 2823000 3059250 3838339 4079000 4894800 5646000 6118500 7676678 8158000 11515017 12237000 15353356 19191695 23030034 24474000 30706712 38383390 46060068 57575085 61413424 76766780 92120136 95958475 115150170 153533560 184240272 191916950 230300340 287875425 307067120 383833900 460600680 479792375 575750850 767667800 921201360 959584750 1151501700 1439377125 1535335600 1919169500 2303003400 2878754250 3838339000 4606006800 5757508500 7676678000 11515017000 23030034000