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2011444304130 = 23459372650229
BaseRepresentation
bin11101010001010011011…
…011000101100100000010
321010021220000022201220000
4131101103123011210002
5230423414220213010
64140013400100430
7265215315325152
oct35212333054402
97107800281800
102011444304130
11706059964978
122859b8764716
131178a8542c71
146d4d6778762
15374c7a827c0
hex1d4536c5902

2011444304130 has 80 divisors (see below), whose sum is σ = 5414324481720. Its totient is φ = 535812496128.

The previous prime is 2011444304081. The next prime is 2011444304137. The reversal of 2011444304130 is 314034441102.

2011444304130 is a `hidden beast` number, since 20 + 1 + 144 + 430 + 41 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1694602529361 + 316841774769 = 1301769^2 + 562887^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011444304094 and 2011444304103.

It is not an unprimeable number, because it can be changed into a prime (2011444304137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566145 + ... + 2084084.

Almost surely, 22011444304130 is an apocalyptic number.

2011444304130 is an abundant number, since it is smaller than the sum of its proper divisors (3402880177590).

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

2011444304130 is a wasteful number, since it uses less digits than its factorization.

2011444304130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651185 (or 2651176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2011444304130 its reverse (314034441102), we get a palindrome (2325478745232).

The spelling of 2011444304130 in words is "two trillion, eleven billion, four hundred forty-four million, three hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 937 1874 2811 4685 5622 8433 9370 14055 16866 25299 28110 42165 50598 75897 84330 126495 151794 252990 379485 758970 2650229 5300458 7950687 13251145 15901374 23852061 26502290 39753435 47704122 71556183 79506870 119260305 143112366 214668549 238520610 357780915 429337098 715561830 1073342745 2146685490 2483264573 4966529146 7449793719 12416322865 14899587438 22349381157 24832645730 37248968595 44698762314 67048143471 74497937190 111746905785 134096286942 201144430413 223493811570 335240717355 402288860826 670481434710 1005722152065 2011444304130