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23012203120 = 2458924113411
BaseRepresentation
bin10101011011101000…
…100101101001110000
32012101202112001010021
4111123220211221300
5334112110444440
614323251213224
71443156333124
oct253350455160
965352461107
1023012203120
119839874895
1245628a7214
13222977274a
141184387584
158ea42084a
hex55ba25a70

23012203120 has 80 divisors (see below), whose sum is σ = 54333084960. Its totient is φ = 9063014400.

The previous prime is 23012203111. The next prime is 23012203129. The reversal of 23012203120 is 2130221032.

It is an interprime number because it is at equal distance from previous prime (23012203111) and next prime (23012203129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×230122031202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23012203094 and 23012203103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23012203129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1709215 + ... + 1722625.

It is an arithmetic number, because the mean of its divisors is an integer number (679163562).

Almost surely, 223012203120 is an apocalyptic number.

23012203120 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 23012203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27166542480).

23012203120 is an abundant number, since it is smaller than the sum of its proper divisors (31320881840).

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

23012203120 is a wasteful number, since it uses less digits than its factorization.

23012203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23012203120 its reverse (2130221032), we get a palindrome (25142424152).

The spelling of 23012203120 in words is "twenty-three billion, twelve million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 241 356 445 482 712 890 964 1205 1424 1780 1928 2410 3560 3856 4820 7120 9640 13411 19280 21449 26822 42898 53644 67055 85796 107245 107288 134110 171592 214490 214576 268220 343184 428980 536440 857960 1072880 1193579 1715920 2387158 3232051 4774316 5967895 6464102 9548632 11935790 12928204 16160255 19097264 23871580 25856408 32320510 47743160 51712816 64641020 95486320 129282040 258564080 287652539 575305078 1150610156 1438262695 2301220312 2876525390 4602440624 5753050780 11506101560 23012203120