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1010300416 = 2931531201
BaseRepresentation
bin111100001101111…
…111011000000000
32121102001120121221
4330031333120000
54032114103131
6244130124424
734015261156
oct7415773000
92542046557
101010300416
11479319724
12242420714
131314056c8
149826d3d6
155da68411
hex3c37f600

1010300416 has 80 divisors (see below), whose sum is σ = 2124828288. Its totient is φ = 479232000.

The previous prime is 1010300413. The next prime is 1010300419. The reversal of 1010300416 is 6140030101.

1010300416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010300413) and next prime (1010300419).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010300416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010300413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840616 + ... + 841816.

Almost surely, 21010300416 is an apocalyptic number.

1010300416 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 1010300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062414144).

1010300416 is an abundant number, since it is smaller than the sum of its proper divisors (1114527872).

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

1010300416 is an equidigital number, since it uses as much as digits as its factorization.

1010300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

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

The square root of 1010300416 is about 31785.2232334461. The cubic root of 1010300416 is about 1003.4217502707.

Adding to 1010300416 its reverse (6140030101), we get a palindrome (7150330517).

The spelling of 1010300416 in words is "one billion, ten million, three hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 256 424 496 512 848 992 1201 1643 1696 1984 2402 3286 3392 3968 4804 6572 6784 7936 9608 13144 13568 15872 19216 26288 27136 37231 38432 52576 63653 74462 76864 105152 127306 148924 153728 210304 254612 297848 307456 420608 509224 595696 614912 841216 1018448 1191392 1973243 2036896 2382784 3946486 4073792 4765568 7892972 8147584 9531136 15785944 16295168 19062272 31571888 32590336 63143776 126287552 252575104 505150208 1010300416