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11307770244 = 22323724792
BaseRepresentation
bin10101000011111111…
…01110000110000100
31002012001120020122100
422201333232012010
5141124242121434
65110020432100
7550134314121
oct124177560604
932161506570
1011307770244
114882a3a171
122236b48630
1310b2916114
14793b07748
15462ad5699
hex2a1fee184

11307770244 has 81 divisors (see below), whose sum is σ = 29438395077. Its totient is φ = 3659728608.

The previous prime is 11307770239. The next prime is 11307770261. The reversal of 11307770244 is 44207770311.

The square root of 11307770244 is 106338.

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

11307770244 is digitally balanced in base 2, 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 only one way, i.e., 10118348100 + 1189422144 = 100590^2 + 34488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11307770199 and 11307770208.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 23606797 + ... + 23607275.

Almost surely, 211307770244 is an apocalyptic number.

11307770244 is the 106338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11307770244

11307770244 is an abundant number, since it is smaller than the sum of its proper divisors (18130624833).

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

11307770244 is an equidigital number, since it uses as much as digits as its factorization.

11307770244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Multiplying 11307770244 by its sum of digits (36), we get a square (407079728784 = 6380282).

11307770244 divided by its sum of digits (36) gives a square (314104729 = 177232).

The spelling of 11307770244 in words is "eleven billion, three hundred seven million, seven hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 479 666 958 1332 1369 1437 1916 2738 2874 4107 4311 5476 5748 8214 8622 12321 16428 17244 17723 24642 35446 49284 53169 70892 106338 159507 212676 229441 319014 458882 638028 655751 688323 917764 1311502 1376646 1967253 2064969 2623004 2753292 3934506 4129938 5901759 7869012 8259876 8489317 11803518 16978634 23607036 25467951 33957268 50935902 76403853 101871804 152807706 305615412 314104729 628209458 942314187 1256418916 1884628374 2826942561 3769256748 5653885122 11307770244