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1301202016 = 25431914951
BaseRepresentation
bin100110110001110…
…1100010001100000
310100200102220121021
41031203230101200
510131101431031
6333041135224
744150014612
oct11543542140
93320386537
101301202016
11608549374
1230392a514
1317976912a
14c4b54db2
157937b511
hex4d8ec460

1301202016 has 48 divisors (see below), whose sum is σ = 2635573248. Its totient is φ = 632016000.

The previous prime is 1301202013. The next prime is 1301202017. The reversal of 1301202016 is 6102021031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301202011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260341 + ... + 265291.

It is an arithmetic number, because the mean of its divisors is an integer number (54907776).

Almost surely, 21301202016 is an apocalyptic number.

1301202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317786624).

1301202016 is an abundant number, since it is smaller than the sum of its proper divisors (1334371232).

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

1301202016 is a wasteful number, since it uses less digits than its factorization.

1301202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1301202016 is about 36072.1778660507. The cubic root of 1301202016 is about 1091.7291568007.

Adding to 1301202016 its reverse (6102021031), we get a palindrome (7403223047).

The spelling of 1301202016 in words is "one billion, three hundred one million, two hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 86 172 191 344 382 688 764 1376 1528 3056 4951 6112 8213 9902 16426 19804 32852 39608 65704 79216 131408 158432 212893 262816 425786 851572 945641 1703144 1891282 3406288 3782564 6812576 7565128 15130256 30260512 40662563 81325126 162650252 325300504 650601008 1301202016