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23002300020 = 2235790760383
BaseRepresentation
bin10101011011000010…
…110011111001110100
32012101001212220121210
4111123002303321310
5334102042100040
614322255041420
71443006216120
oct253302637164
965331786553
1023002300020
119834220507
12455b510270
1322276b601b
141182d2a580
158e9616480
hex55b0b3e74

23002300020 has 96 divisors (see below), whose sum is σ = 73689735168. Its totient is φ = 5251784832.

The previous prime is 23002299997. The next prime is 23002300043. The reversal of 23002300020 is 2000320032.

It is an interprime number because it is at equal distance from previous prime (23002299997) and next prime (23002300043).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23002299969 and 23002300005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 350749 + ... + 411131.

It is an arithmetic number, because the mean of its divisors is an integer number (767601408).

Almost surely, 223002300020 is an apocalyptic number.

23002300020 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 23002300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36844867584).

23002300020 is an abundant number, since it is smaller than the sum of its proper divisors (50687435148).

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

23002300020 is a wasteful number, since it uses less digits than its factorization.

23002300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61309 (or 61307 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 23002300020 its reverse (2000320032), we get a palindrome (25002620052).

The spelling of 23002300020 in words is "twenty-three billion, two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 907 1814 2721 3628 4535 5442 6349 9070 10884 12698 13605 18140 19047 25396 27210 31745 38094 54420 60383 63490 76188 95235 120766 126980 181149 190470 241532 301915 362298 380940 422681 603830 724596 845362 905745 1207660 1268043 1690724 1811490 2113405 2536086 3622980 4226810 5072172 6340215 8453620 12680430 25360860 54767381 109534762 164302143 219069524 273836905 328604286 383371667 547673810 657208572 766743334 821510715 1095347620 1150115001 1533486668 1643021430 1916858335 2300230002 3286042860 3833716670 4600460004 5750575005 7667433340 11501150010 23002300020