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1010503056 = 243414631109
BaseRepresentation
bin111100001110110…
…000110110010000
32121102102212121010
4330032300312100
54032142044211
6244134330520
734020064023
oct7416606620
92542385533
101010503056
114794479a2
122424b9a40
13131476a04
14982c31ba
155daa84a6
hex3c3b0d90

1010503056 has 80 divisors (see below), whose sum is σ = 2682328320. Its totient is φ = 327613440.

The previous prime is 1010503051. The next prime is 1010503061. The reversal of 1010503056 is 6503050101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010503051) and next prime (1010503061).

It is a super-2 number, since 2×10105030562 = 2042232852370678272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1010503051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910630 + ... + 911738.

It is an arithmetic number, because the mean of its divisors is an integer number (33529104).

Almost surely, 21010503056 is an apocalyptic number.

1010503056 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 1010503056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341164160).

1010503056 is an abundant number, since it is smaller than the sum of its proper divisors (1671825264).

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

1010503056 is a wasteful number, since it uses less digits than its factorization.

1010503056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1010503056 is about 31788.4107183734. The cubic root of 1010503056 is about 1003.4888325587.

Adding to 1010503056 its reverse (6503050101), we get a palindrome (7513553157).

The spelling of 1010503056 in words is "one billion, ten million, five hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 463 492 656 926 984 1109 1389 1852 1968 2218 2778 3327 3704 4436 5556 6654 7408 8872 11112 13308 17744 18983 22224 26616 37966 45469 53232 56949 75932 90938 113898 136407 151864 181876 227796 272814 303728 363752 455592 513467 545628 727504 911184 1026934 1091256 1540401 2053868 2182512 3080802 4107736 6161604 8215472 12323208 21052147 24646416 42104294 63156441 84208588 126312882 168417176 252625764 336834352 505251528 1010503056