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111202002021 = 31147101709871
BaseRepresentation
bin110011110010000100…
…1111110010001100101
3101122000212012000011110
41213210021332101211
53310220203031041
6123030244455233
711014455264345
oct1474411762145
9348025160143
10111202002021
11431846a4010
12196753aa519
13a6425426c6
14554cab4d25
152d5c8cb516
hex19e427e465

111202002021 has 32 divisors (see below), whose sum is σ = 166825598976. Its totient is φ = 65308040000.

The previous prime is 111202002013. The next prime is 111202002059. The reversal of 111202002021 is 120200202111.

It is a cyclic number.

It is not a de Polignac number, because 111202002021 - 23 = 111202002013 is a prime.

It is a super-3 number, since 3×1112020020213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111202001988 and 111202002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198285 + ... + 511586.

It is an arithmetic number, because the mean of its divisors is an integer number (5213299968).

Almost surely, 2111202002021 is an apocalyptic number.

111202002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111202002021 is a deficient number, since it is larger than the sum of its proper divisors (55623596955).

111202002021 is a wasteful number, since it uses less digits than its factorization.

111202002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710033.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111202002021 its reverse (120200202111), we get a palindrome (231402204132).

It can be divided in two parts, 11 and 1202002021, that multiplied together give a palindrome (13222022231).

The spelling of 111202002021 in words is "one hundred eleven billion, two hundred two million, two thousand, twenty-one".

Divisors: 1 3 11 33 47 101 141 303 517 1111 1551 3333 4747 14241 52217 156651 709871 2129613 7808581 23425743 33363937 71696971 100091811 215090913 367003307 788666681 1101009921 2366000043 3369757637 10109272911 37067334007 111202002021