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101211344 = 2413539181
BaseRepresentation
bin1100000100001…
…01110011010000
321001110001212022
412002011303100
5201402230334
614013151012
72336165543
oct602056320
9231401768
10101211344
1152149643
1229a8b468
1317c78c90
14d62885a
158d4382e
hex6085cd0

101211344 has 40 divisors (see below), whose sum is σ = 215189352. Its totient is φ = 45826560.

The previous prime is 101211343. The next prime is 101211349. The reversal of 101211344 is 443112101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14348944 + 86862400 = 3788^2 + 9320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6434 + ... + 15614.

Almost surely, 2101211344 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 101211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107594676).

101211344 is an abundant number, since it is smaller than the sum of its proper divisors (113978008).

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

101211344 is a wasteful number, since it uses less digits than its factorization.

101211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9255 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101211344 is about 10060.3848832935. The cubic root of 101211344 is about 466.0255531924.

Adding to 101211344 its reverse (443112101), we get a palindrome (544323445).

The spelling of 101211344 in words is "one hundred one million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 9181 11024 18362 36724 73448 119353 146896 238706 477412 486593 954824 973186 1909648 1946372 3892744 6325709 7785488 12651418 25302836 50605672 101211344