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23420101200 = 2435219516751
BaseRepresentation
bin10101110011111100…
…100110001001010000
32020110012001102002120
4111303330212021100
5340431021214300
614431542014240
71456241401266
oct256374461120
966405042076
1023420101200
119a29044741
124657417380
13229311ac62
1411c2606436
159211443a0
hex573f26250

23420101200 has 60 divisors (see below), whose sum is σ = 75022394688. Its totient is φ = 6245360000.

The previous prime is 23420101171. The next prime is 23420101207. The reversal of 23420101200 is 210102432.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×234201012002 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23420101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23420101207) 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 11 ways as a sum of consecutive naturals, for example, 9757176 + ... + 9759575.

Almost surely, 223420101200 is an apocalyptic number.

23420101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23420101200 is an abundant number, since it is smaller than the sum of its proper divisors (51602293488).

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

23420101200 is a wasteful number, since it uses less digits than its factorization.

23420101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19516772 (or 19516761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23420101200 its reverse (210102432), we get a palindrome (23630203632).

The spelling of 23420101200 in words is "twenty-three billion, four hundred twenty million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 19516751 39033502 58550253 78067004 97583755 117100506 156134008 195167510 234201012 292751265 312268016 390335020 468402024 487918775 585502530 780670040 936804048 975837550 1171005060 1463756325 1561340080 1951675100 2342010120 2927512650 3903350200 4684020240 5855025300 7806700400 11710050600 23420101200