Search a number
-
+
11112200221101 = 372297335707699
BaseRepresentation
bin1010000110110100001010…
…1111110011000110101101
31110100022112100011110121220
42201231002233303012231
52424030241224033401
635344512503413553
72224554452263500
oct241550257630655
943308470143556
1011112200221101
1135a472636a771
1212b57514542b9
13627b506cc125
142a5b94a53137
151440c1a14336
hexa1b42bf31ad

11112200221101 has 48 divisors (see below), whose sum is σ = 18073809432000. Its totient is φ = 6046884410112.

The previous prime is 11112200221097. The next prime is 11112200221121. The reversal of 11112200221101 is 10112200221111.

It is a happy number.

It is not a de Polignac number, because 11112200221101 - 22 = 11112200221097 is a prime.

It is a super-2 number, since 2×111122002211012 (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 (11112200221121) 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 47 ways as a sum of consecutive naturals, for example, 17542651 + ... + 18165048.

It is an arithmetic number, because the mean of its divisors is an integer number (376537696500).

Almost surely, 211112200221101 is an apocalyptic number.

It is an amenable number.

11112200221101 is a deficient number, since it is larger than the sum of its proper divisors (6961609210899).

11112200221101 is a wasteful number, since it uses less digits than its factorization.

11112200221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35707818 (or 35707811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11112200221101 its reverse (10112200221111), we get a palindrome (21224400442212).

The spelling of 11112200221101 in words is "eleven trillion, one hundred twelve billion, two hundred million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 7 21 29 49 73 87 147 203 219 511 609 1421 1533 2117 3577 4263 6351 10731 14819 44457 103733 311199 35707699 107123097 249953893 749861679 1035523271 1749677251 2606662027 3106569813 5249031753 7248662897 7819986081 18246634189 21745988691 50740640279 54739902567 75593198783 127726439323 152221920837 226779596349 383179317969 529152391481 1587457174443 3704066740367 11112200221101