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101344012 = 227112931123
BaseRepresentation
bin1100000101001…
…10001100001100
321001200210211221
412002212030030
5201421002022
614020053124
72340260410
oct602461414
9231623757
10101344012
115222a290
1229b341a4
1317cc4493
14d660d40
158d6ccc7
hex60a630c

101344012 has 48 divisors (see below), whose sum is σ = 222066432. Its totient is φ = 39314880.

The previous prime is 101343959. The next prime is 101344013. The reversal of 101344012 is 210443101.

It is a super-2 number, since 2×1013440122 = 20541217536512288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101344013) 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, 89683 + ... + 90805.

It is an arithmetic number, because the mean of its divisors is an integer number (4626384).

Almost surely, 2101344012 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 101344012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111033216).

101344012 is an abundant number, since it is smaller than the sum of its proper divisors (120722420).

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

101344012 is a wasteful number, since it uses less digits than its factorization.

101344012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101344012 is about 10066.9763087036. The cubic root of 101344012 is about 466.2290866473.

Adding to 101344012 its reverse (210443101), we get a palindrome (311787113).

The spelling of 101344012 in words is "one hundred one million, three hundred forty-four thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 293 308 586 1123 1172 2051 2246 3223 4102 4492 6446 7861 8204 12353 12892 15722 22561 24706 31444 45122 49412 86471 90244 172942 329039 345884 658078 1316156 2303273 3619429 4606546 7238858 9213092 14477716 25336003 50672006 101344012