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111002102101 = 11312251144611
BaseRepresentation
bin110011101100000111…
…1011010100101010101
3101121111221001001000201
41213120033122211111
53304313014231401
6122554344140501
711006510204632
oct1473017324525
9347457031021
10111002102101
114309187a270
121961a467731
13a60ccc1b27
14553031b189
152d4a091b01
hex19d83da955

111002102101 has 16 divisors (see below), whose sum is σ = 125055830016. Its totient is φ = 97611750000.

The previous prime is 111002102087. The next prime is 111002102153. The reversal of 111002102101 is 101201200111.

It is a cyclic number.

It is not a de Polignac number, because 111002102101 - 215 = 111002069333 is a prime.

It is a super-2 number, since 2×1110021021012 (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 (111002102171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695286 + ... + 839896.

It is an arithmetic number, because the mean of its divisors is an integer number (7815989376).

Almost surely, 2111002102101 is an apocalyptic number.

111002102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111002102101 is a deficient number, since it is larger than the sum of its proper divisors (14053727915).

111002102101 is a wasteful number, since it uses less digits than its factorization.

111002102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146904.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111002102101 its reverse (101201200111), we get a palindrome (212203302212).

The spelling of 111002102101 in words is "one hundred eleven billion, two million, one hundred two thousand, one hundred one".

Divisors: 1 11 31 341 2251 24761 69781 144611 767591 1590721 4482941 49312351 325519361 3580712971 10091100191 111002102101