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110231310100 = 225219431134609
BaseRepresentation
bin110011010101001001…
…1000100111100010100
3101112112012122202011211
41212222103010330110
53301223203410400
6122350051311204
710651430450632
oct1465223047424
9345465582154
10110231310100
114282677888a
12194442ab504
13a5193c75a2
145499bd6352
152d02588dba
hex19aa4c4f14

110231310100 has 72 divisors (see below), whose sum is σ = 252377596800. Its totient is φ = 41674636800.

The previous prime is 110231310097. The next prime is 110231310109. The reversal of 110231310100 is 1013132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110231310109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751596 + ... + 886204.

It is an arithmetic number, because the mean of its divisors is an integer number (3505244400).

Almost surely, 2110231310100 is an apocalyptic number.

110231310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110231310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126188798400).

110231310100 is an abundant number, since it is smaller than the sum of its proper divisors (142146286700).

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

110231310100 is a wasteful number, since it uses less digits than its factorization.

110231310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135073 (or 135066 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110231310100 its reverse (1013132011), we get a palindrome (111244442111).

The spelling of 110231310100 in words is "one hundred ten billion, two hundred thirty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 431 475 862 950 1724 1900 2155 4310 8189 8620 10775 16378 21550 32756 40945 43100 81890 134609 163780 204725 269218 409450 538436 673045 818900 1346090 2557571 2692180 3365225 5115142 6730450 10230284 12787855 13460900 25575710 51151420 58016479 63939275 116032958 127878550 232065916 255757100 290082395 580164790 1102313101 1160329580 1450411975 2204626202 2900823950 4409252404 5511565505 5801647900 11023131010 22046262020 27557827525 55115655050 110231310100