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1001201201112 = 233738915320131
BaseRepresentation
bin11101001000111000011…
…11011110111111011000
310112201021102200202122010
432210130033132333120
5112400430001413422
62043540120225520
7132222461536050
oct16443417367730
93481242622563
101001201201112
11356674a82092
1214205830b2a0
137354a0c0928
143665bbaa560
151b09be3cb0c
hexe91c3defd8

1001201201112 has 64 divisors (see below), whose sum is σ = 2867928710400. Its totient is φ = 285322101120.

The previous prime is 1001201201111. The next prime is 1001201201113. The reversal of 1001201201112 is 2111021021001.

It is an interprime number because it is at equal distance from previous prime (1001201201111) and next prime (1001201201113).

It is a super-2 number, since 2×10012012011122 (a number of 25 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 (1001201201111) 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, 7594714 + ... + 7725417.

It is an arithmetic number, because the mean of its divisors is an integer number (44811386100).

Almost surely, 21001201201112 is an apocalyptic number.

1001201201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001201201112 is an abundant number, since it is smaller than the sum of its proper divisors (1866727509288).

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

1001201201112 is a wasteful number, since it uses less digits than its factorization.

1001201201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15320536 (or 15320532 counting only the distinct ones).

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

Adding to 1001201201112 its reverse (2111021021001), we get a palindrome (3112222222113).

The spelling of 1001201201112 in words is "one trillion, one billion, two hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 389 778 1167 1556 2334 2723 3112 4668 5446 8169 9336 10892 16338 21784 32676 65352 15320131 30640262 45960393 61280524 91920786 107240917 122561048 183841572 214481834 321722751 367683144 428963668 643445502 857927336 1286891004 2573782008 5959530959 11919061918 17878592877 23838123836 35757185754 41716716713 47676247672 71514371508 83433433426 125150150139 143028743016 166866866852 250300300278 333733733704 500600600556 1001201201112