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20212111121 = 1729241311547
BaseRepresentation
bin10010110100101111…
…000101011100010001
31221011121122122000012
4102310233011130101
5312343300023441
613141343404305
71313606052446
oct226457053421
957147578005
1020212111121
118632234274
123b00bb3695
131ba1612687
14d9a53b9cd
157d46b89eb
hex4b4bc5711

20212111121 has 32 divisors (see below), whose sum is σ = 22343143680. Its totient is φ = 18198835200.

The previous prime is 20212111103. The next prime is 20212111147. The reversal of 20212111121 is 12111121202.

It is a cyclic number.

It is not a de Polignac number, because 20212111121 - 230 = 19138369297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20212111096 and 20212111105.

It is not an unprimeable number, because it can be changed into a prime (20212111181) 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 31 ways as a sum of consecutive naturals, for example, 36950570 + ... + 36951116.

It is an arithmetic number, because the mean of its divisors is an integer number (698223240).

Almost surely, 220212111121 is an apocalyptic number.

It is an amenable number.

20212111121 is a deficient number, since it is larger than the sum of its proper divisors (2131032559).

20212111121 is a wasteful number, since it uses less digits than its factorization.

20212111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20212111121 its reverse (12111121202), we get a palindrome (32323232323).

It can be divided in two parts, 202 and 12111121, that multiplied together give a palindrome (2446446442).

The spelling of 20212111121 in words is "twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 17 29 241 311 493 547 4097 5287 6989 9019 9299 15863 74951 118813 131827 153323 170117 269671 1274167 2173579 2241059 2891989 3822983 4933393 36950843 40998197 64990711 83867681 696969349 1188947713 20212111121