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20011112111221 = 711448633579281
BaseRepresentation
bin1001000110011001100110…
…01110101001110001110101
32121212001011210212020120121
410203030303032221301311
510110330224200024341
6110320551125131541
74133520004301410
oct443146316516165
977761153766517
1020011112111221
116415735109730
1222b2354b59bb1
13b2206950268a
144d2785d92b77
1524a8056bd4d1
hex1233333a9c75

20011112111221 has 16 divisors (see below), whose sum is σ = 24949017675648. Its totient is φ = 15593012697600.

The previous prime is 20011112111197. The next prime is 20011112111281. The reversal of 20011112111221 is 12211121111002.

It is a cyclic number.

It is not a de Polignac number, because 20011112111221 - 225 = 20011078556789 is a prime.

It is a super-2 number, since 2×200111121112212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20011112111195 and 20011112111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011112111281) 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 15 ways as a sum of consecutive naturals, for example, 34255101 + ... + 34834381.

It is an arithmetic number, because the mean of its divisors is an integer number (1559313604728).

Almost surely, 220011112111221 is an apocalyptic number.

It is an amenable number.

20011112111221 is a deficient number, since it is larger than the sum of its proper divisors (4937905564427).

20011112111221 is a wasteful number, since it uses less digits than its factorization.

20011112111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027932.

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

Adding to 20011112111221 its reverse (12211121111002), we get a palindrome (32222233222223).

The spelling of 20011112111221 in words is "twenty trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 77 448633 579281 3140431 4054967 4934963 6372091 34544741 44604637 259884572873 1819192010111 2858730301603 20011112111221