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23213301111020 = 22516777315435827
BaseRepresentation
bin1010100011100110001001…
…00100010001100011101100
310001012011120212101220201202
411101303010210101203230
511020311320041023040
6121212013204425032
74614051145555226
oct521630444214354
9101164525356652
1023213301111020
11743a784342549
12272aa876a8178
13cc500aa011a7
145a375b983416
152a3c7062e015
hex151cc49118ec

23213301111020 has 96 divisors (see below), whose sum is σ = 49143532612608. Its totient is φ = 9210224777472.

The previous prime is 23213301111017. The next prime is 23213301111023. The reversal of 23213301111020 is 2011110331232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23213301111017) and next prime (23213301111023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23213301110983 and 23213301111001.

It is not an unprimeable number, because it can be changed into a prime (23213301111023) by changing a digit.

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, 3983745347 + ... + 3983751173.

It is an arithmetic number, because the mean of its divisors is an integer number (511911798048).

Almost surely, 223213301111020 is an apocalyptic number.

23213301111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23213301111020 is an abundant number, since it is smaller than the sum of its proper divisors (25930231501588).

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

23213301111020 is a wasteful number, since it uses less digits than its factorization.

23213301111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 23213301111020 its reverse (2011110331232), we get a palindrome (25224411442252).

The spelling of 23213301111020 in words is "twenty-three trillion, two hundred thirteen billion, three hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 167 334 668 773 835 1543 1546 1670 3086 3092 3340 3865 5827 6172 7715 7730 11654 15430 15460 23308 29135 30860 58270 116540 129091 257681 258182 515362 516364 645455 973109 1030724 1192739 1288405 1290910 1946218 2385478 2576810 2581820 3892436 4504271 4770956 4865545 5153620 5963695 8991061 9008542 9731090 11927390 17982122 18017084 19462180 22521355 23854780 35964244 44955305 45042710 89910610 90085420 179821220 199187413 398374826 752213257 796749652 995937065 1501507187 1504426514 1991874130 3003014374 3008853028 3761066285 3983748260 6006028748 6950090153 7507535935 7522132570 13900180306 15015071870 15044265140 27800360612 30030143740 34750450765 69500901530 139001803060 1160665055551 2321330111102 4642660222204 5803325277755 11606650555510 23213301111020