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101201201112 = 23311383337883
BaseRepresentation
bin101111001000000001…
…1111100011111011000
3100200012212220200101210
41132100003330133120
53124230001413422
6114254032543120
710211601005364
oct1362003743730
9320185820353
10101201201112
1139a124922a0
12177440b1aa0
13970a63482b
144c807c42a4
15297491110c
hex17900fc7d8

101201201112 has 32 divisors (see below), whose sum is σ = 276003276480. Its totient is φ = 30667030560.

The previous prime is 101201201053. The next prime is 101201201113. The reversal of 101201201112 is 211102102101.

It is a super-2 number, since 2×1012012011122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201201113) 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 7 ways as a sum of consecutive naturals, for example, 191668678 + ... + 191669205.

It is an arithmetic number, because the mean of its divisors is an integer number (8625102390).

Almost surely, 2101201201112 is an apocalyptic number.

101201201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201201112 is an abundant number, since it is smaller than the sum of its proper divisors (174802075368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101201201112 is a wasteful number, since it uses less digits than its factorization.

101201201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383337903 (or 383337899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201201112 its reverse (211102102101), we get a palindrome (312303303213).

The spelling of 101201201112 in words is "one hundred one billion, two hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 383337883 766675766 1150013649 1533351532 2300027298 3066703064 4216716713 4600054596 8433433426 9200109192 12650150139 16866866852 25300300278 33733733704 50600600556 101201201112