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110201312 = 2513972731
BaseRepresentation
bin1101001000110…
…00100111100000
321200100210210002
412210120213200
5211202420222
614533555132
72505460424
oct644304740
9250323702
10110201312
1157229971
1230aa5aa8
1319aa5ba0
14108c8b84
159a1c392
hex69189e0

110201312 has 48 divisors (see below), whose sum is σ = 236143152. Its totient is φ = 50319360.

The previous prime is 110201297. The next prime is 110201339. The reversal of 110201312 is 213102011.

It is a junction number, because it is equal to n+sod(n) for n = 110201293 and 110201302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38987 + ... + 41717.

It is an arithmetic number, because the mean of its divisors is an integer number (4919649).

Almost surely, 2110201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118071576).

110201312 is an abundant number, since it is smaller than the sum of its proper divisors (125941840).

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

110201312 is a wasteful number, since it uses less digits than its factorization.

110201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 110201312 is about 10497.6812677848. The cubic root of 110201312 is about 479.4341016120.

Adding to 110201312 its reverse (213102011), we get a palindrome (323303323).

The spelling of 110201312 in words is "one hundred ten million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 2731 3104 5044 5462 10088 10924 20176 21848 35503 40352 43696 71006 87392 142012 264907 284024 529814 568048 1059628 1136096 2119256 3443791 4238512 6887582 8477024 13775164 27550328 55100656 110201312