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2301323030010 = 232537858180537
BaseRepresentation
bin100001011111010001100…
…010101010110111111010
322011000010011021202200200
4201133101202222313322
5300201102143430020
64521114015143030
7325156633666644
oct41372142526772
98130104252620
102301323030010
11807a92945114
12312018514a76
13139024502574
147d5555c9894
153ece18ca590
hex217d18aadfa

2301323030010 has 96 divisors (see below), whose sum is σ = 6145946915472. Its totient is φ = 597023032320.

The previous prime is 2301323029961. The next prime is 2301323030023. The reversal of 2301323030010 is 100303231032.

2301323030010 is a `hidden beast` number, since 2 + 30 + 1 + 323 + 0 + 300 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 585220410009 + 1716102620001 = 764997^2 + 1310001^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28534462 + ... + 28614998.

Almost surely, 22301323030010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301323030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072973457736).

2301323030010 is an abundant number, since it is smaller than the sum of its proper divisors (3844623885462).

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

2301323030010 is a wasteful number, since it uses less digits than its factorization.

2301323030010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89168 (or 89165 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2301323030010 its reverse (100303231032), we get a palindrome (2401626261042).

The spelling of 2301323030010 in words is "two trillion, three hundred one billion, three hundred twenty-three million, thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 8581 17162 25743 42905 51486 77229 80537 85810 128715 154458 161074 241611 257430 317497 386145 402685 483222 634994 724833 772290 805370 952491 1208055 1449666 1587485 1904982 2416110 2857473 2979869 3174970 3624165 4762455 5714946 5959738 7248330 8939607 9524910 14287365 14899345 17879214 26818821 28574730 29798690 44698035 53637642 89396070 134094105 268188210 691087997 1382175994 2073263991 3455439985 4146527982 6219791973 6910879970 10366319955 12439583946 20732639910 25570255889 31098959865 51140511778 62197919730 76710767667 127851279445 153421535334 230132303001 255702558890 383553838335 460264606002 767107676670 1150661515005 2301323030010