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111202202101 = 1927310938713
BaseRepresentation
bin110011110010000101…
…0101111000111110101
3101122000212120011121211
41213210022233013311
53310220230431401
6123030253041421
711014460056564
oct1474412570765
9348025504554
10111202202101
1143184820371
1219675486271
13a6425b27b3
14554cb27bdb
152d5c91a951
hex19e42af1f5

111202202101 has 24 divisors (see below), whose sum is σ = 120065276760. Its totient is φ = 102950383104.

The previous prime is 111202202087. The next prime is 111202202107. The reversal of 111202202101 is 101202202111.

It can be written as a sum of positive squares in 4 ways, for example, as 46177712100 + 65024490001 = 214890^2 + 254999^2 .

It is not a de Polignac number, because 111202202101 - 213 = 111202193909 is a prime.

It is a super-2 number, since 2×1112022021012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202202107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2853121 + ... + 2891833.

It is an arithmetic number, because the mean of its divisors is an integer number (5002719865).

Almost surely, 2111202202101 is an apocalyptic number.

It is an amenable number.

111202202101 is a deficient number, since it is larger than the sum of its proper divisors (8863074659).

111202202101 is a wasteful number, since it uses less digits than its factorization.

111202202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38933 (or 38914 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111202202101 its reverse (101202202111), we get a palindrome (212404404212).

The spelling of 111202202101 in words is "one hundred eleven billion, two hundred two million, two hundred two thousand, one hundred one".

Divisors: 1 19 73 109 361 1387 2071 7957 26353 38713 39349 151183 735547 2826049 2872477 4219717 13975393 53694931 80174623 308039341 1020203689 1523317837 5852747479 111202202101