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101775036484 = 221121728532
BaseRepresentation
bin101111011001001000…
…0111101000001000100
3100201200212200112112201
41132302100331001010
53131413402131414
6114431012124244
710232036351662
oct1366220750104
9321625615481
10101775036484
113a18739a300
1217884306684
13979c49c0a4
144cd6ab9c32
1529a9eb1574
hex17b243d044

101775036484 has 81 divisors (see below), whose sum is σ = 208207109271. Its totient is φ = 43489079040.

The previous prime is 101775036463. The next prime is 101775036487. The reversal of 101775036484 is 484630577101.

The square root of 101775036484 is 319022.

It is a perfect power (a square), and thus also a powerful number.

101775036484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6096174084 + 95678862400 = 78078^2 + 309320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101775036487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119313802 + ... + 119314654.

Almost surely, 2101775036484 is an apocalyptic number.

101775036484 is the 319022-nd square number.

It is an amenable number.

101775036484 is an abundant number, since it is smaller than the sum of its proper divisors (106432072787).

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

101775036484 is an equidigital number, since it uses as much as digits as its factorization.

101775036484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 101775036484 in words is "one hundred one billion, seven hundred seventy-five million, thirty-six thousand, four hundred eighty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 853 1156 1706 2057 3179 3412 4114 6358 8228 9383 12716 14501 18766 29002 34969 37532 58004 69938 103213 139876 159511 206426 246517 319022 412852 493034 638044 727609 986068 1455218 1754621 2711687 2910436 3509242 5423374 7018484 8003699 10846748 12369353 16007398 24738706 29828557 32014796 49477412 59657114 88040689 119314228 136062883 176081378 210279001 272125766 352162756 420558002 544251532 841116004 1496691713 2313069011 2993383426 4626138022 5986766852 9252276044 25443759121 50887518242 101775036484