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1010401304 = 2311219137401
BaseRepresentation
bin111100001110011…
…000000000011000
32121102020201000112
4330032120000120
54032130320204
6244132223452
734016161253
oct7416300030
92542221015
101010401304
11479388500
1224246ab88
1313143c5c3
149829809a
155da8826e
hex3c398018

1010401304 has 96 divisors (see below), whose sum is σ = 2213492400. Its totient is φ = 430848000.

The previous prime is 1010401283. The next prime is 1010401331. The reversal of 1010401304 is 4031040101.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2519504 + ... + 2519904.

Almost surely, 21010401304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106746200).

1010401304 is an abundant number, since it is smaller than the sum of its proper divisors (1203091096).

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

1010401304 is a wasteful number, since it uses less digits than its factorization.

1010401304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010401304 is about 31786.8102205931. The cubic root of 1010401304 is about 1003.4551495258.

Adding to 1010401304 its reverse (4031040101), we get a palindrome (5041441405).

The spelling of 1010401304 in words is "one billion, ten million, four hundred one thousand, three hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 137 152 209 242 274 401 418 484 548 802 836 968 1096 1507 1604 1672 2299 2603 3014 3208 4411 4598 5206 6028 7619 8822 9196 10412 12056 15238 16577 17644 18392 20824 28633 30476 33154 35288 48521 54937 57266 60952 66308 83809 97042 109874 114532 132616 167618 194084 219748 229064 314963 335236 388168 439496 604307 629926 670472 921899 1043803 1208614 1259852 1843798 2087606 2417228 2519704 3687596 4175212 4834456 6647377 7375192 8350424 11481833 13294754 22963666 26589508 45927332 53179016 91854664 126300163 252600326 505200652 1010401304