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2301016542 = 23112910111903
BaseRepresentation
bin1000100100100110…
…1011100111011110
312221100202202021220
42021021223213132
514203030012132
61020154434210
7111010214016
oct21111534736
95840682256
102301016542
11a80955870
12542732966
132a893ca66
1417b854c46
15d7022a2c
hex8926b9de

2301016542 has 64 divisors (see below), whose sum is σ = 5245378560. Its totient is φ = 666512000.

The previous prime is 2301016541. The next prime is 2301016547. The reversal of 2301016542 is 2456101032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301016541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 187363 + ... + 199265.

It is an arithmetic number, because the mean of its divisors is an integer number (81959040).

Almost surely, 22301016542 is an apocalyptic number.

2301016542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301016542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

2301016542 is an abundant number, since it is smaller than the sum of its proper divisors (2944362018).

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

2301016542 is a wasteful number, since it uses less digits than its factorization.

2301016542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2301016542 is about 47968.9122453282. The cubic root of 2301016542 is about 1320.2005629589.

Adding to 2301016542 its reverse (2456101032), we get a palindrome (4757117574).

The spelling of 2301016542 in words is "two billion, three hundred one million, sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 303 319 606 638 957 1111 1914 2222 2929 3333 5858 6666 8787 11903 17574 23806 32219 35709 64438 71418 96657 130933 193314 261866 345187 392799 690374 785598 1035561 1202203 2071122 2404406 3606609 3797057 7213218 7594114 11391171 13224233 22782342 26448466 34863887 39672699 69727774 79345398 104591661 209183322 383502757 767005514 1150508271 2301016542