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20213120011248 = 2432140368888967
BaseRepresentation
bin1001001100010001110111…
…10101101000101111110000
32122120100121002100211002200
410212020323311220233300
510122132432210324443
6110553440143343200
74154230646152353
oct446107365505760
978510532324080
1020213120011248
11649337732293a
122325530bb1b00
13b38120803978
144dc46a9c829a
15250bca065dd3
hex12623bd68bf0

20213120011248 has 30 divisors (see below), whose sum is σ = 56568662254104. Its totient is φ = 6737706670368.

The previous prime is 20213120011247. The next prime is 20213120011261. The reversal of 20213120011248 is 84211002131202.

It is a happy number.

20213120011248 is a `hidden beast` number, since 2 + 0 + 213 + 1 + 200 + 1 + 1 + 248 = 666.

It is a super-2 number, since 2×202131200112482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213120011247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70184444340 + ... + 70184444627.

Almost surely, 220213120011248 is an apocalyptic number.

It is an amenable number.

20213120011248 is an abundant number, since it is smaller than the sum of its proper divisors (36355542242856).

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

20213120011248 is a wasteful number, since it uses less digits than its factorization.

20213120011248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140368888981 (or 140368888972 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 20213120011248 in words is "twenty trillion, two hundred thirteen billion, one hundred twenty million, eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 140368888967 280737777934 421106666901 561475555868 842213333802 1122951111736 1263320000703 1684426667604 2245902223472 2526640001406 3368853335208 5053280002812 6737706670416 10106560005624 20213120011248